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    LCM for 50, 75 and 125

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

    What's the Least Common Multiple (LCM) of 50, 75 and 125?

    Answer

    LCM of 50, 75 and 125 is
    750

    First common multiples: 750; 1,500; 2,250; …

    750 is divisible by all three: 750 ÷ 50 = 15, 750 ÷ 75 = 10, 750 ÷ 125 = 6 — and 15, 10 and 6 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/50 by 15 and of y/75 by 10 and of z/125 by 6.

    50 = 2 × 52

    75 = 3 × 52

    125 = 53

    Prime5075125Highest power
    22——2
    3—3—3
    552525353

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

    LCM = 2 × 3 × 53 = 750

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/50--75--125Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/50--75--125">What is the LCM of 50, 75 and 125? - Calculatio</a>Copy
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    What is the LCM of 50, 75 and 125? The LCM of 50, 75 and 125 is 750 — 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/50--75--125/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    50751101,650
    50751115,550
    50751128,400
    507511316,950
    50751142,850
    50751153,450
    50751168,700
    50751175,850
    50751188,850
    507511917,850
    5075120600
    507512118,150
    50751229,150
    50751236,150
    50751249,300
    5075125750
    50751263,150
    507512719,050
    50751289,600
    50751296,450
    50751301,950
    507513119,650
    50751323,300
    507513319,950
    507513410,050
    50751351,350
    507513610,200
    507513720,550
    50751383,450
    507513920,850

    FAQ

    What's the Least Common Multiple (LCM) of 50, 75 and 125?

    LCM of 50, 75 and 125 is 750

    How to find the LCM of 50, 75 and 125 by prime factorization?

    Take every prime that appears in 50, 75 and 125 to the highest power it reaches in any one of them and multiply: 2 × 3 × 5³ = 750.

    Can you get the LCM of 50, 75 and 125 two numbers at a time?

    Yes. The LCM of 50 and 75 is 150, and the LCM of 150 and 125 is 750 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 750 divisible by 50, 75 and 125?

    Yes, and by definition it is the smallest positive integer that is: 750 ÷ 50, 750 ÷ 75 and 750 ÷ 125 all come out whole. Any other common multiple of 50, 75 and 125 is a multiple of 750.

    See Also