Question

Find the LCM of 24, 36, 54 and 81 by division method​

Answer 1

Answer:

Find the prime factors of 24

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Tree view of the prime factors of 24: 2, 2, 2 and 3

The prime factors of 24 are 2, 2, 2 and 3.

2. Find the prime factors of 36

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Tree view of the prime factors of 36: 2, 2, 3 and 3

The prime factors of 36 are 2, 2, 3 and 3.

3. Find the prime factors of 54

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Tree view of the prime factors of 54: 2, 3, 3 and 3

The prime factors of 54 are 2, 3, 3 and 3.

4. Find the prime factors of 81

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Tree view of the prime factors of 81: 3, 3, 3 and 3

The prime factors of 81 are 3, 3, 3 and 3.

5. Build a prime factors table

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Determine the maximum number of times each prime factor (2, 3) occurs in the factorization of the given numbers:

Prime factorNumber 24 36 54 81 Max. occurrence

2 3 2 1 0 3

3 1 2 3 4 4

The prime factors 2 and 3 occur more than once.

6. Calculate the LCM

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The least common multiple is the product of all factors in the greatest number of their occurrence.

LCM =

The least common multiple of 24, 36, 54 and 81 is 648.

Answer 2

Step-by-step explanation:

answer is 648

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