what is the lcm of 216 264 and 424
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Answers
Answer:
2376
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Step-by-step explanation:
Answer: heya sis here is the answer
The instructions to find the LCM of 216 and 264 are the next:
1. Decompose all numbers into prime factors
216 2
108 2
54 2
27 3
9 3
3 3
1
264 2
132 2
66 2
33 3
11 11
1
2. Write all numbers as the product of its prime factors
Prime factors of 216 = 23 . 33
Prime factors of 264 = 23 . 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