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    LCM for 3, 5 and 16

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

    What's the Least Common Multiple (LCM) of 3, 5 and 16?

    Answer

    LCM of 3, 5 and 16 is
    240

    First common multiples: 240, 480, 720, …

    240 is divisible by all three: 240 ÷ 3 = 80, 240 ÷ 5 = 48, 240 ÷ 16 = 15 — and 80, 48 and 15 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/3 by 80 and of y/5 by 48 and of z/16 by 15.

    3 — prime

    5 — prime

    16 = 24

    Prime3516Highest power
    2——2424
    33——3
    5—5—5

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

    LCM = 24 × 3 × 5 = 240

    See Also

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/3--5--16Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/3--5--16">What is the LCM of 3, 5 and 16? - Calculatio</a>Copy
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    What is the LCM of 3, 5 and 16? The LCM of 3, 5 and 16 is 240 — 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/3--5--16/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    13515
    23530
    33515
    34560
    35515
    35630
    357105
    358120
    35945
    351030
    3511165
    351260
    3513195
    3514210
    351515
    3516240
    3517255
    351890
    3519285
    352060
    3521105
    3522330
    3523345
    3524120
    352575
    3526390
    3527135
    3528420
    3529435
    353030

    FAQ

    What's the Least Common Multiple (LCM) of 3, 5 and 16?

    LCM of 3, 5 and 16 is 240

    How to find the LCM of 3, 5 and 16 by prime factorization?

    Take every prime that appears in 3, 5 and 16 to the highest power it reaches in any one of them and multiply: 2⁴ × 3 × 5 = 240.

    Can you get the LCM of 3, 5 and 16 two numbers at a time?

    Yes. The LCM of 3 and 5 is 15, and the LCM of 15 and 16 is 240 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 240 divisible by 3, 5 and 16?

    Yes, and by definition it is the smallest positive integer that is: 240 ÷ 3, 240 ÷ 5 and 240 ÷ 16 all come out whole. Any other common multiple of 3, 5 and 16 is a multiple of 240.