» Find the L.C.M of 112, 168
and 206 by the Prime
factorization method.
Answers
Answer:
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Step-by-step explanation:
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d
dx
द् f
✒✒✒✒ ANSWER ✒✒✒✒
1. Decompose all numbers into prime factors
112 2 56 2 28 2 14 2 7 7 1 168 2 84 2 42 2 21 3 7 7 1 266 2 133 7 19 19 1
2. Write all numbers as the product of its prime factors
Prime factors of 112 = 24 . 7
Prime factors of 168 = 23 . 3 . 7
Prime factors of 266 = 2 . 7 . 19
3. Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 7
Common prime factors with the greatest exponent: 24, 71
Uncommon prime factors: 3 , 19
Uncommon prime factors with the greatest exponent: 31, 191
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. 71. 31. 191 = 6384
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