What is the LCM of 4, 8, and 12?
LCM of 4, 8, and 12 is the least number which is exactly divisible by 4, 8, and 12.
Answer: LCM of 4, 8, and 12 is 24
Least Common Multiple of three numbers, a, b, and c is the smallest number that divides the numbers, a, b, and c exactly.
LCM of 4, 8, and 12 by Common Division Method
Follow the steps mentioned below to find the LCM of 4, 8, and 12 by the common division method.
Step 1: Write the numbers 4, 8, and 12 horizontally by separating them with a comma.
Step 2: Choose the smallest prime number that divides at least any one of them.
Step 3: Write the quotient in the next row just below the numbers. If any of the numbers are not divided, we will bring them down directly.
Step 4: We will stop it when we don't have a prime number to divide the given numbers.
Step 5: Least common multiple of 4, 8, and 12 will be the product of primes by which we have divided.
LCM of 4, 8 and 12 by Listing Method
In this method, we list the first few multiples of 4, 8 and 12 and identify the common multiples.
The least among the common multiples is the LCM of 4, 8 and 12
Irrespective of the method, the solution to our question LCM of 4, 8, and 12 is the same.