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9 votes
9 votes
Find the smallest value of m such that the LCM of m and 34 is 374.

User Keithbhunter
by
2.9k points

1 Answer

21 votes
21 votes

Answer:

11

first you use a number tree

34 374

/\ /\

2 17 2 187

/\

11 17

express the numbers in prime factors

374=2×11×17

34 =2×17

in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17

So m factors are 2 and 11

which means m is 2×11=22

22 in its smallest form is 11

User U Avalos
by
3.1k points
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