LCM(77, 18) =

guringpw 2021-12-13 Answered
LCM(77, 18) =
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Expert Answer

Heather Fulton
Answered 2021-12-14 Author has 31 answers
Step 1
We have to find the LCM of 77 and 18.
Step 2
The prime factorization of 77 is
77=7×11
The prime factorization of 18 is
18=2×3×3
Now we multiply each prime factor the greatest number of times it occurs in either sets to find the LCM.
(2 occurs 1 time, 3 occurs 2 times, 7 occurs 1 time and 11 occurs 1 time)
LCM=2×3×3×7×11=1386
Step 3
LCM(77, 18) = 1386

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William Appel
Answered 2021-12-15 Author has 44 answers
(i)Find the prime factorization of 18
18=2×3×3
(ii)Find the prime factorization of 77
77=7×11
Multiply each factor the greater number of times it occurs in steps (i) or (ii) above to find the LCM:
LCM=2×3×3×7×11
LCM=1386

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