find the HCF and LCM of 16 40 56 by prime factorization method
Answers
Answer:
The instructions to find the LCM of 16, 40 and 56 are the next:
1. Decompose all numbers into prime factors
16 2 8 2 4 2 2 2 1 40 2 20 2 10 2 5 5 1 56 2 28 2 14 2 7 7 1
2. Write all numbers as the product of its prime factors
Prime factors of 16 = 24
Prime factors of 40 = 23 . 5
Prime factors of 56 = 23 . 7
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2
Common prime factors with the greatest exponent: 24
Uncommon prime factors: 5 , 7
Uncommon prime factors with the greatest exponent: 51, 71
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 = 24. 51. 71 = 560
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