least common multiple for 15,25,9 and 45
Answers
Answer:
↪1. Find the prime factors of 15
The prime factors of 15: 3 and 5
The prime factors of 15 are 3 and 5.
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↪2. Find the prime factors of 25
The prime factors of 25: 5 and 5
The prime factors of 25 are 5 and 5.
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↪3. Find the prime factors of 9
The prime factors of 9: 3 and 3
The prime factors of 9 are 3 and 3.
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↪4. Find the prime factors of 45
The prime factors of 45: 3, 3 and 5
The prime factors of 45 are 3, 3 and 5.
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↪5. Build a prime factors table
Determine the maximum number of times each prime factor (3, 5) occurs in the factorization of the given numbers:
The prime factors 3 and 5 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 = 3^2 . 5^2
↪The least common multiple of 15, 25, 9 and 45 is 225.
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Answer:
answer is 225
Step-by-step explanation:
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