Question

find the lcm of 21,45,63,81 using common division method

Answer 1

Step-by-step explanation:

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Answer 2

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Answer:

2835

Step-by-step explanation:

• Find the prime factors of 21.
• The prime factors of 21 are 3 and 7.
• Find the prime factors of 45.
• The prime factors of 45 are 3, 3 and 5.
• Find the prime factors of 63.
• The prime factors of 63 are 3, 3 and 7.
• Find the prime factors of 81.
• The prime factors of 81 are 3, 3 and 3.
• Build a prime factors table.
• Determine the maximum number of times each prime factor (3, 5, 7) occurs in the factorization of the given numbers. The prime factors 5 and 7 occur one time, while 3 occurs more than once.
• Calculate the LCM
• The least common multiple is the product of all factors in the greatest number of their occurrence.
• LCM = 3^4 × 5 × 7
• The least common multiple of 21, 45, 63 and 81 is 2835.

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