Answer: 8820
Explanation:
Prime Factorization of 4 is:
2 x 2 => 22
Prime Factorization of 10 is:
2 x 5 => 21 x 51
Prime Factorization of 14 is:
2 x 7 => 21 x 71
Prime Factorization of 45 is:
3 x 3 x 5 => 32 x 51
Prime Factorization of 49 is:
7 x 7 => 72
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, 3, 3, 5, 7, 7
Multiply these factors together to find the LCM.
LCM = 2 x 2 x 3 x 3 x 5 x 7 x 7 = 8820
In exponential form:
LCM = 22 x 32 x 51 x 72 = 8820
LCM = 8820
Therefore,
LCM(4, 10, 14, 45, 49) = 8820