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    LCM for 112, 160 and 188

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

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/112--160--188Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/112--160--188">What is the LCM of 112, 160 and 188? - Calculatio</a>Copy
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    What is the LCM of 112, 160 and 188? The LCM of 112, 160 and 188 is 52,640 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/112--160--188/generated.jpgCopy

    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