Math, asked by brshwetha20, 29 days ago

what is the lcm of 216 264 and 424

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Answers

Answered by Pushkar1302
2

Answer:

2376

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Step-by-step explanation:

Answered by sd28408
1

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

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