What is the LCM of 4,6 and 12?
LCM of 4, 6 and 12 is the smallest number which divides 4, 6 and 12 exactly without a remainder.
Answer: LCM of 4, 6 and 12 is 12.
Explanation
For 4, 6 and 12 the smallest number which would be perfectly divisible by them is their LCM which is 12.
Least Common Multiple is the smallest number which will divide 4, 6 and 12 exactly.
Look at the methods shown below to find the least common multiple of 4, 6 and 12

LCM of 4, 6 and 12 by Listing the Common Multiples Method
List the first few multiples of 4, 6 and 12 and find the common multiples.
Multiples of 4 are 4, 8, 12, 16, 20
Multiples of 6 are 6, 12, 18, 24
Multiples of 12 are 12, 24, 36
The smallest among the common multiples is the LCM of 4, 6 and 12 which in the above case we can see is 12. So, the least common multiple of 4, 6 and 12 is 12
LCM of 4, 6 and 12 by Common Division Method
Here we will divide the numbers 4, 6 and 12 simultaneously with prime numbers until we don't have a prime number to further divide 4, 6 and 12 and the product of the prime numbers used in division is the LCM of 4 , 6 and 12
So, LCM of 4, 6 and 12 is 12