what is LCM of 7,14 and 35.
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Answer:
answer is 70
Step-by-step explanation:
1. Decompose all numbers into prime factors
7 7 1 14 2 7 7 1 35 5 7 7 1
2. Write all numbers as the product of its prime factors
Prime factors of 7 = 7
Prime factors of 14 = 2 . 7
Prime factors of 35 = 5 . 7
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 7
Common prime factors with the greatest exponent: 71
Uncommon prime factors: 2 , 5
Uncommon prime factors with the greatest exponent: 21, 51
4. Calculate the Least Common Multiple or LCM
LCM = 71. 21. 51 = 70
Answered by
5
LCM = 7 × 14 × 5 = 70
70 is the answer
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