84,144,96,find the lcm of numbers with comman division with steps
Answers
Step-by-step explanation:
1. Decompose all numbers into prime factors
84 2 42 2 21 3 7 7 1
96 2 48 2 24 2 12 2 6 2 3 3 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 96 = 25 . 3
Prime factors of 144 = 24 . 32
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 3
Common prime factors with the greatest exponent: 25, 32
Uncommon prime factors: 7
Uncommon prime factors with the greatest exponent: 71
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 = 25. 32. 71 = 2016
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