What is the LCM of 24 and 30?
LCM of 24 and 30 is the least number which is exactly divisible by both 24 and 30.
Answer: LCM of 24 and 30 is 90
Lets see how to find the LCM of 24 and 30
Least Common Multiple is the smallest number which the given numbers divides exactly.
We can find the LCM of the numbers in many ways the commonly used methods are listed below.
Methods to Find LCM of 24 and 30
Let us use the following methods to find the LCM of 24 and 30
- Listing the Multiples
LCM of 24 and 30 by Listing Method
In this method, we list the first few multiples of 24 and 30 and identify the common multiples.
The least among the common multiples is the LCM of 24 and 30
LCM of 24 and 30 by Common Division Method
In this division method, we divide the numbers simultaneously with prime numbers and stop it when we don't have a prime number to divide the given numbers.
LCM of 24 and 30 by Formula
The formula of LCM is LCM(a,b) = (a × b) / GCF(a,b)
The Greatest Common Factor of (24,30) = 6
LCM of 24 and 30 = (24 × 30) / 6
= 720/6 = 120
LCM of 24 and 30 = 120
Irrespective of the method, the solution to our question LCM of 24 and 30 is the same.