LCM of 144 84 132
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L.C.M
answer of LCM of 144,84 and 132 is 11088
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FOLLOW THESE STEPS:::---
1. Decompose all numbers into prime factors
84 |2
42 |2
21 |3
7 |7
1
__________________
132 |2
66 |2
33 |3
11 | 11
1
___________________
144 |2
72 |2
36 |2
18 |2
9 |3
3 |3
1
____________________
2. Write all numbers as the product of its prime factors
Prime factors of 84 = 22 . 3 . 7
Prime factors of 132 = 22 . 3 . 11
Prime factors of 144 = 24 . 32
3. Choose the common and uncommon prime factors with the greatest exponentCommon prime factors: 2 , 3
Common prime factors with the greatest exponent: 24, 32
Uncommon prime factors: 7 , 11
Uncommon prime factors with the greatest exponent: 71, 111
4. Calculate the Least Common Multiple or LCMRemember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 24. 32. 71. 111 = 11088.
HENCE , SOLVED WITH EXPLANATION!!
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