Q. 4 A) Find the LCM by prime factors method. a) 18, 30, 50
Answers
Answer:
LCM = 450
Step-by-step explanation:
Prime Factorization of 18 is:
2 x 3 x 3 => 21 x 32
Prime Factorization of 30 is:
2 x 3 x 5 => 21 x 31 x 51
Prime Factorization of 50 is:
2 x 5 x 5 => 21 x 52
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, 3, 3, 5, 5
Multiply these factors together to find the LCM.
LCM = 2 x 3 x 3 x 5 x 5 = 450
In exponential form:
LCM = 21 x 32 x 52 = 450
LCM = 450
Therefore,
LCM(18, 30, 50) = 450Prime Factorization of 18 is:
2 x 3 x 3 => 21 x 32
Prime Factorization of 30 is:
2 x 3 x 5 => 21 x 31 x 51
Prime Factorization of 50 is:
2 x 5 x 5 => 21 x 52
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, 3, 3, 5, 5
Multiply these factors together to find the LCM.
LCM = 2 x 3 x 3 x 5 x 5 = 450
In exponential form:
LCM = 21 x 32 x 52 = 450
LCM = 450
Therefore,
LCM(18, 30, 50) = 450
I hope this helps!