Question

1. # Find The Least Number Which When Divided By?

Have you ever been stumped by a math problem and wished there was an easier way to solve it? We bet you have. Fortunately, there are many calculators and tools available that can make solving math problems easier—and faster. In this article, we will discuss one of the most common mathematical problems: finding the least number which when divided by a set of numbers results in a remainder of zero. We will look at some key concepts, provide examples, and explore ways to use computer programs to determine the smallest number. So put on your learning cap and let’s get started!

## What is the least number which when divided by 3, 4, 5 and 6 leaves a remainder of 2?

The least number which when divided by 3, 4, 5 and 6 leaves a remainder of 2 is 23.

## Solution to the problem

The solution to the problem is to use the Euclidean algorithm, which is a method for finding the greatest common divisor (GCD) of two numbers. The GCD of two numbers is the largest number that will evenly divide both numbers.

To use the Euclidean algorithm, start with the two numbers you want to find the GCD for. Then, keep dividing the larger number by the smaller number until you get a remainder of 0. The last number you divided by before getting a remainder of 0 is your GCD.

For example, let’s say we want to find the GCD of 24 and 18. We would start by dividing 24 by 18:

24 ÷ 18 = 1 with a remainder of 6

Then, we would divide 18 by 6:

18 ÷ 6 = 3 with a remainder of 0

Since we got a remainder of 0 when we divided 18 by 6, that means 6 is our GCD.

## Why does this work?

There are a number of reasons why this approach to finding the least number which when divided by 3, 5, and 7 leaves a remainder of 2 may work. First, by starting with the largest possible number and working down, we are guaranteed to find the correct answer since the first number that meets the criteria will necessarily be the smallest such number. Second, since we are only considering numbers which are divisible by 3, 5, and 7, this decreases the search space and makes it more likely that we will find the correct answer in a reasonable amount of time. Finally, this method is relatively simple and easy to understand, making it more likely that people will be able to use it correctly.

## Generalization of the problem

In mathematics, a generalization of the problem is the study of problems that are similar to a given problem but are more difficult to solve. Generalizations of the problem can be used to find new and more efficient ways to solve the original problem.

In the case of the least number which when divided by 2, 3, 4, 5, and 6 leaves a remainder of 1, we can generalize the problem by asking for the least number which when divided by any integer from 2 to 6 leaves a remainder of 1. This will give us a larger set of numbers to work with and will allow us to find a more efficient solution to the original problem.

2. Do you want to find the least number which when divided by a given number gives a specific result? This is a common problem that many people face in math, but it doesn’t have to be that hard. In this article, we will provide helpful tips and tricks for how to find the least number which when divided by a given divisor gives an exact answer.

First, look at the numbers after the decimal point of your desired result. If any are non-zero, add 1 to the whole number part of your answer before proceeding further. Then divide by the divisor and check if your result is still accurate. If not, keep adding one until you get an exact answer.

3. Have you ever been in a situation where you needed to find the least number which can be divided by a certain number? It can be quite tricky to figure out! But don’t worry, this blog post will help you find the answer you need.

Let’s start by understanding the concept of divisibility. A number is divisible by another number when the result of the division is a whole number. For instance, if we take 12, it is divisible by 2, 3, 4 and 6 because all of these numbers produce a whole number when divided by 12.

Now, the question is, how do we find the least number which can be divided by a certain number? Well, the answer is quite simple. All you need to do is to find the prime factors of the given number. A prime number is a number which is only divisible by itself and 1.

For example, if we take the number 12, its prime factors are 2, 3 and 4 since these are the only numbers it is divisible by. Therefore, the least number which can be divided by 12 is 2 x 3 x 4 = 24.

And there you have it – the least number which can be divided by a certain number is simply the product of its prime factors! This is a useful technique which can help you solve many different types of mathematical problems.

So the next time you need to find the least number which can be divided by a certain number, just keep this tip in mind and you’ll be sure to find the correct answer in no time!

4. Have you ever been in a situation where you had to find the least number which when divided by a certain number gives a certain result?

Well, if you have, then you’ve come to the right place! Today, we’re going to be discussing how to find the least number which when divided by a certain number gives a certain result.

To begin, let’s first define what we’re looking for. In this case, we’re looking for the least number which when divided by a certain number gives a certain result. In other words, we’re looking for the number which will divide a certain number, and give a certain result.

Now that we’ve got that out of the way, let’s look at an example. Suppose we’re looking for the least number which when divided by 8, gives the result of 8. In this case, the least number would be 64. This is because 8 divided by 8 equals 1, and 64 divided by 8 also equals 8.

So, how do we find the least number which when divided by a certain number gives a certain result? The answer is to start by dividing the number we’re looking for by the number we want to divide it by. If the result is a whole number, then we’ve found the least number. But if the result is a fraction, then we’ll need to move on to the next number.

For example, let’s say we’re looking for the least number which when divided by 4 gives the result of 3. We’d start by dividing 4 by 4, which gives us 1. Since 1 is a whole number, we’ve found our answer.

Now, if we’re looking for the least number which when divided by 7 gives the result of 3, we’d start by dividing 7 by 7, which gives us 1. Since 1 is a whole number, we’ve found our answer.

So, there you have it! That’s how to find the least number which when divided by a certain number gives a certain result. We hope that this blog post has been helpful in helping you find the least number which when divided by a certain number gives a certain result.

Good luck!