lcm of 72,108 and 132 by prime factorisation method
Answers
Answer:
1. Decompose all numbers into prime factors
72 2 36 2 18 2 9 3 3 3 1 108 2 54 2 27 3 9 3 3 3 1 132 2 66 2 33 3 11 11 1
2. Write all numbers as the product of its prime factors
Prime factors of 72 = 23 . 32
Prime factors of 108 = 22 . 33
Prime factors of 132 = 22 . 3 . 11
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 3
Common prime factors with the greatest exponent: 23, 33
Uncommon prime factors: 11
Uncommon prime factors with the greatest exponent: 111
4. Calculate the Least Common Multiple or LCM
Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.
LCM = 23. 33. 111 = 2376
so answer is 2376
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