find the LCM of 18 30 and 54
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Answer:
270
Step-by-step explanation:
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Ans : 270
Explanation:
Write all numbers as the product of its prime factors
Prime factors of 18 = 2 . 3 . 3
Prime factors of 30 = 2 . 3 . 5
Prime factors of 54 = 2 . 3 . 3 .3
Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 3
Common prime factors with the greatest exponent: 2^1 3^3
Uncommon prime factors: 5
Uncommon prime factors with the greatest exponent: 5^1
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 = 2^1 x 3^3 x 5^1 = 270
Explanation:
Write all numbers as the product of its prime factors
Prime factors of 18 = 2 . 3 . 3
Prime factors of 30 = 2 . 3 . 5
Prime factors of 54 = 2 . 3 . 3 .3
Choose the common and uncommon prime factors with the greatest exponent
Common prime factors: 2 , 3
Common prime factors with the greatest exponent: 2^1 3^3
Uncommon prime factors: 5
Uncommon prime factors with the greatest exponent: 5^1
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 = 2^1 x 3^3 x 5^1 = 270
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