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 12, 16 and 50

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

    What's the Least Common Multiple (LCM) of 12, 16 and 50?

    Answer

    LCM of 12, 16 and 50 is
    1,200

    First common multiples: 1,200; 2,400; 3,600; …

    1,200 is divisible by all three: 1,200 ÷ 12 = 100; 1,200 ÷ 16 = 75; 1,200 ÷ 50 = 24 — and 100, 75 and 24 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/12 by 100 and of y/16 by 75 and of z/50 by 24.

    12 = 22 × 3

    16 = 24

    50 = 2 × 52

    Prime121650Highest power
    22224224
    33——3
    5——5252

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

    LCM = 24 × 3 × 52 = 1,200

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--16--50Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--16--50">What is the LCM of 12, 16 and 50? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 12, 16 and 50? The LCM of 12, 16 and 50 is 1,200 — 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/12--16--50/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1216351,680
    121636144
    1216371,776
    121638912
    121639624
    121640240
    1216411,968
    121642336
    1216432,064
    121644528
    121645720
    1216461,104
    1216472,256
    12164848
    1216492,352
    1216501,200
    121651816
    121652624
    1216532,544
    121654432
    1216552,640
    121656336
    121657912
    1216581,392
    1216592,832
    121660240
    1216612,928
    1216621,488
    1216631,008
    121664192

    FAQ

    What's the Least Common Multiple (LCM) of 12, 16 and 50?

    LCM of 12, 16 and 50 is 1,200

    How to find the LCM of 12, 16 and 50 by prime factorization?

    Take every prime that appears in 12, 16 and 50 to the highest power it reaches in any one of them and multiply: 2⁴ × 3 × 5² = 1,200.

    Can you get the LCM of 12, 16 and 50 two numbers at a time?

    Yes. The LCM of 12 and 16 is 48, and the LCM of 48 and 50 is 1,200 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 1,200 divisible by 12, 16 and 50?

    Yes, and by definition it is the smallest positive integer that is: 1,200 ÷ 12, 1,200 ÷ 16 and 1,200 ÷ 50 all come out whole. Any other common multiple of 12, 16 and 50 is a multiple of 1,200.

    See Also