Answer:
LCM(22, 24, 30) = 1320
Step-by-step explanation:
Prime Factorization of 22 is:
2 x 11 => 21 x 111
Prime Factorization of 24 is:
2 x 2 x 2 x 3 => 23 x 31
Prime Factorization of 30 is:
2 x 3 x 5 => 21 x 31 x 51
For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.
The new superset list is
2, 2, 2, 3, 5, 11
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 2 x 3 x 5 x 11 = 1320
In exponential form:
LCM = 23 x 31 x 51 x 111 = 1320
LCM = 1320
Therefore,
LCM(22, 24, 30) = 1320
