Explaining The Least Common Multiple Of 10 And 5

LCM of 5, 10 and 15 How to Find LCM of 5, 10, 15? from www.cuemath.com

Introduction

In mathematics, the concept of multiples is essential. A multiple is a product of a number and an integer. For example, the multiples of 5 are 5, 10, 15, 20, and so on. In this article, we will discuss the least common multiple (LCM) of 10 and 5.

What is the LCM?

The least common multiple is the smallest multiple that two or more numbers have in common. In simpler terms, it is the smallest number that is evenly divisible by two or more numbers.

Example

Let's take the numbers 4 and 6. The multiples of 4 are 4, 8, 12, 16, 20, 24, 28, and so on. The multiples of 6 are 6, 12, 18, 24, 30, and so on. The smallest number that appears in both lists is 12. Therefore, the LCM of 4 and 6 is 12.

How to Find the LCM of 10 and 5?

To find the LCM of 10 and 5, we need to list the multiples of both numbers and find the smallest one that appears in both lists.

Multiples of 10

The multiples of 10 are 10, 20, 30, 40, 50, 60, and so on.

Multiples of 5

The multiples of 5 are 5, 10, 15, 20, 25, 30, 35, and so on.

Finding the LCM

From the lists above, we can see that both 10 and 5 have 10 in common. Therefore, 10 is the LCM of 10 and 5.

Why is the LCM Important?

The LCM is essential in many mathematical concepts, such as adding and subtracting fractions. To add or subtract fractions with different denominators, we need to find the LCM of the denominators to convert the fractions into equivalent fractions with the same denominator.

Example

Let's say we want to add 1/4 and 2/5. The LCM of 4 and 5 is 20. We need to convert both fractions into equivalent fractions with the denominator of 20. 1/4 = 5/20 2/5 = 8/20 Now that both fractions have the same denominator, we can add them. 1/4 + 2/5 = 5/20 + 8/20 = 13/20

Conclusion

In conclusion, the LCM of 10 and 5 is 10, which is the smallest multiple that both numbers have in common. The concept of LCM is essential in many mathematical concepts and is useful in solving problems involving fractions.