Math, asked by pradeeplecture, 5 months ago

find the lcm of 108, 120, 132​

Answers

Answered by singhranjana5735
6

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

Answered by adventureisland
4

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...

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