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2 votes
Find the least common multiple of 44 , 18and 4 ?

A 3,168

B 66

C 396

D 792

E none of these answers are correct

Please help!!

User BarretV
by
8.0k points

1 Answer

6 votes

Answer:

C. 396

Explanation:

You want the LCM of 4, 18, and 44.

LCM

You can find the least common multiple by considering the unique factors to their highest powers.

4 = 2^2

18 = 2·3^2

44 = 2^2·11

The unique factors are 2, 3, 11, and their highest powers are 2, 2, and 1, respectively. The LCM is ...

2² × 3² × 11 = 396

__

Check

396 = 4·99 = 18·22 = 44·9 . . . . . 99, 22, and 9 have no common factors

User Miwa
by
9.1k points