Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    LCM for 32, 48 and 64

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

    What's the Least Common Multiple (LCM) of 32, 48 and 64?

    Answer

    LCM of 32, 48 and 64 is
    192

    First common multiples: 192, 384, 576, …

    192 is divisible by all three: 192 ÷ 32 = 6, 192 ÷ 48 = 4, 192 ÷ 64 = 3 — and 6, 4 and 3 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/32 by 6 and of y/48 by 4 and of z/64 by 3.

    32 = 25

    48 = 24 × 3

    64 = 26

    Prime324864Highest power
    225242626
    3—3—3

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

    LCM = 26 × 3 = 192

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/32--48--64Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/32--48--64">What is the LCM of 32, 48 and 64? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 32, 48 and 64? The LCM of 32, 48 and 64 is 192 — 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/32--48--64/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    3248494,704
    3248502,400
    3248511,632
    3248521,248
    3248535,088
    324854864
    3248555,280
    324856672
    3248571,824
    3248582,784
    3248595,664
    324860480
    3248615,856
    3248622,976
    3248632,016
    324864192
    3248656,240
    3248661,056
    3248676,432
    3248681,632
    3248692,208
    3248703,360
    3248716,816
    324872288
    3248737,008
    3248743,552
    3248752,400
    3248761,824
    3248777,392
    3248781,248

    FAQ

    What's the Least Common Multiple (LCM) of 32, 48 and 64?

    LCM of 32, 48 and 64 is 192

    How to find the LCM of 32, 48 and 64 by prime factorization?

    Take every prime that appears in 32, 48 and 64 to the highest power it reaches in any one of them and multiply: 2⁶ × 3 = 192.

    Can you get the LCM of 32, 48 and 64 two numbers at a time?

    Yes. The LCM of 32 and 48 is 96, and the LCM of 96 and 64 is 192 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 192 divisible by 32, 48 and 64?

    Yes, and by definition it is the smallest positive integer that is: 192 ÷ 32, 192 ÷ 48 and 192 ÷ 64 all come out whole. Any other common multiple of 32, 48 and 64 is a multiple of 192.

    See Also