what is the LCM of 126, 154 and 198
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Answer:
1386
Step-by-step explanation:
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The instructions to find the LCM of 126, 154 and 198 are the next:
(1). Decompose all numbers into prime factors
126 2 63 3 21 3 7 7 1 154 2 77 7 11 11 1 198 2 99 3 33 3 11 11 1
(2). Write all numbers as the product of its prime factors
Prime factors of 126 = 2 . 32 . 7
Prime factors of 154 = 2 . 7 . 11
Prime factors of 198 = 2 . 32 . 11
(3). Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2
Common prime factors with the greatest exponent: 21
Uncommon prime factors: 3 , 7 , 11
Uncommon prime factors with the greatest exponent: 32, 71, 111
(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 = 21. 32. 71. 111 = 1386.
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