find the lcm of 108, 120, 132
Answers
Answer:
Least Common Multiple is :
11880
Calculate Least Common Multiple for :
108, 120 and 132
Factorize of the above numbers :
108 = 22 • 33
120 = 23 • 3 • 5
132 = 22 • 3 • 11
Build a prime factors table
Number of times each prime factor
appears in the factorization of :
Prime
Factor Number
108 Number
120 Number
132 L.C.M
(max)
2 2 3 2 3
3 3 1 1 3
5 0 1 0 1
11 0 0 1 1
LCM = 23 • 33 • 5 • 11
Least Common Multiple is :
11880
Given
108 , 120 , 132
Explanation
Least Common Multiple is an abbreviation for "LCM". When you multiply a number by a whole number, you obtain a multiple (greater than 0). A factor is a number that is multiplied by a whole number to produce the desired result.
The prime factors common to one or the other are 2 , 2 , 3 ,3 , 11 , 5 ,3 , 2, 1.
Thus the least common multiple will be 2x 2 x 3 x 3 x 11 x 5 x 3 x 2x 1 = 11880
Lcm of These number is 11880
Refer this below image...