Understanding Lcm For 18 And 30

LCM of 18 and 30 How to Find LCM of 18, 30? from www.cuemath.com

Introduction

LCM or Least Common Multiple is an essential concept of mathematics that helps in finding the smallest number that is divisible by two or more given numbers. In this article, we will discuss LCM for 18 and 30 and understand how to find it.

What is LCM?

LCM is the smallest number that is a multiple of two or more given numbers. It is also known as the Lowest Common Multiple. Finding LCM is useful in many mathematical problems, including simplifying fractions, adding and subtracting fractions, and solving algebraic equations.

Factors of 18 and 30

Before finding the LCM of 18 and 30, we need to find the factors of both numbers. The factors of 18 are 1, 2, 3, 6, 9, and 18, while the factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.

Method to Find LCM

There are various methods to find LCM, including prime factorization, listing multiples, and the ladder method. In this article, we will use the ladder method to find the LCM of 18 and 30.

The Ladder Method

The ladder method involves listing the multiples of the given numbers and finding the smallest common multiple. To use the ladder method, we need to list the multiples of 18 and 30 and find the first common multiple.

Multiples of 18

The multiples of 18 are 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360.

Multiples of 30

The multiples of 30 are 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360.

Common Multiple

The common multiple of 18 and 30 is 90, as it is the smallest number that is present in both lists.

LCM of 18 and 30

Therefore, the LCM of 18 and 30 is 90.

Conclusion

In conclusion, LCM is an essential concept of mathematics that helps in finding the smallest number that is divisible by two or more given numbers. The Ladder Method is one of the easiest methods to find the LCM of two or more numbers. In this article, we have discussed how to find the LCM of 18 and 30 using the ladder method.