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    LCM for 50, 150 and 225

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

    What's the Least Common Multiple (LCM) of 50, 150 and 225?

    Answer

    LCM of 50, 150 and 225 is
    450

    First common multiples: 450; 900; 1,350; …

    450 is divisible by all three: 450 ÷ 50 = 9, 450 ÷ 150 = 3, 450 ÷ 225 = 2 — and 9, 3 and 2 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 9 and of y/150 by 3 and of z/225 by 2.

    50 = 2 × 52

    150 = 2 × 3 × 52

    225 = 32 × 52

    Prime50150225Highest power
    222—2
    3—33232
    552525252

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

    LCM = 2 × 32 × 52 = 450

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/50--150--225Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/50--150--225">What is the LCM of 50, 150 and 225? - Calculatio</a>Copy
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    What is the LCM of 50, 150 and 225? The LCM of 50, 150 and 225 is 450 — 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--150--225/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    501502101,050
    5015021131,650
    5015021215,900
    5015021310,650
    5015021416,050
    501502156,450
    501502165,400
    5015021732,550
    5015021816,350
    5015021910,950
    501502203,300
    5015022133,150
    501502225,550
    5015022333,450
    5015022416,800
    50150225450
    5015022616,950
    5015022734,050
    501502285,700
    5015022934,350
    501502303,450
    5015023111,550
    5015023217,400
    5015023334,950
    501502345,850
    501502357,050
    5015023617,700
    5015023711,850
    5015023817,850
    5015023935,850

    FAQ

    What's the Least Common Multiple (LCM) of 50, 150 and 225?

    LCM of 50, 150 and 225 is 450

    How to find the LCM of 50, 150 and 225 by prime factorization?

    Take every prime that appears in 50, 150 and 225 to the highest power it reaches in any one of them and multiply: 2 × 3² × 5² = 450.

    Can you get the LCM of 50, 150 and 225 two numbers at a time?

    Yes. The LCM of 50 and 150 is 150, and the LCM of 150 and 225 is 450 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 450 divisible by 50, 150 and 225?

    Yes, and by definition it is the smallest positive integer that is: 450 ÷ 50, 450 ÷ 150 and 450 ÷ 225 all come out whole. Any other common multiple of 50, 150 and 225 is a multiple of 450.

    See Also