LCM for 112, 160 and 188

"Least Common Multiple of 3 Numbers" Calculator
Least Common Multiple of
,
and

What's the Least Common Multiple (LCM) of 112, 160 and 188?

Answer

LCM of 112, 160 and 188 is
52,640

First common multiples: 52,640; 105,280; 157,920; …

52,640 is divisible by all three: 52,640 ÷ 112 = 470; 52,640 ÷ 160 = 329; 52,640 ÷ 188 = 280 — and 470, 329 and 280 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/112 by 470 and of y/160 by 329 and of z/188 by 280.

112 = 24 × 7

160 = 25 × 5

188 = 22 × 47

Prime112160188Highest power
224252225
5—5—5
77——7
47——4747

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 25 × 5 × 7 × 47 = 52,640

Related Calculations

See Also

LCM Table

1st2nd3rdLCM
112160173193,760
11216017497,440
1121601755,600
11216017612,320
112160177198,240
11216017899,680
112160179200,480
11216018010,080
112160181202,720
11216018214,560
112160183204,960
11216018425,760
11216018541,440
112160186104,160
112160187209,440
11216018852,640
11216018930,240
11216019021,280
112160191213,920
1121601926,720
112160193216,160
112160194108,640
11216019543,680
1121601967,840
112160197220,640
112160198110,880
112160199222,880
1121602005,600
112160201225,120
112160202113,120

FAQ

What's the Least Common Multiple (LCM) of 112, 160 and 188?

LCM of 112, 160 and 188 is 52,640

How to find the LCM of 112, 160 and 188 by prime factorization?

Take every prime that appears in 112, 160 and 188 to the highest power it reaches in any one of them and multiply: 2⁵ × 5 × 7 × 47 = 52,640.

Can you get the LCM of 112, 160 and 188 two numbers at a time?

Yes. The LCM of 112 and 160 is 1,120, and the LCM of 1,120 and 188 is 52,640 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

Is 52,640 divisible by 112, 160 and 188?

Yes, and by definition it is the smallest positive integer that is: 52,640 ÷ 112, 52,640 ÷ 160 and 52,640 ÷ 188 all come out whole. Any other common multiple of 112, 160 and 188 is a multiple of 52,640.

See Also