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 30, 40 and 50

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

    What's the Least Common Multiple (LCM) of 30, 40 and 50?

    Answer

    LCM of 30, 40 and 50 is
    600

    First common multiples: 600; 1,200; 1,800; …

    600 is divisible by all three: 600 ÷ 30 = 20, 600 ÷ 40 = 15, 600 ÷ 50 = 12 — and 20, 15 and 12 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/30 by 20 and of y/40 by 15 and of z/50 by 12.

    30 = 2 × 3 × 5

    40 = 23 × 5

    50 = 2 × 52

    Prime304050Highest power
    2223223
    33——3
    5555252

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

    LCM = 23 × 3 × 52 = 600

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/30--40--50Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/30--40--50">What is the LCM of 30, 40 and 50? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 30, 40 and 50? The LCM of 30, 40 and 50 is 600 — 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/30--40--50/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    303540840
    303640360
    3037404,440
    3038402,280
    3039401,560
    304040120
    3040414,920
    304042840
    3040435,160
    3040441,320
    304045360
    3040462,760
    3040475,640
    304048240
    3040495,880
    304050600
    3040512,040
    3040521,560
    3040536,360
    3040541,080
    3040551,320
    304056840
    3040572,280
    3040583,480
    3040597,080
    304060120
    3040617,320
    3040623,720
    3040632,520
    304064960

    FAQ

    What's the Least Common Multiple (LCM) of 30, 40 and 50?

    LCM of 30, 40 and 50 is 600

    How to find the LCM of 30, 40 and 50 by prime factorization?

    Take every prime that appears in 30, 40 and 50 to the highest power it reaches in any one of them and multiply: 2³ × 3 × 5² = 600.

    Can you get the LCM of 30, 40 and 50 two numbers at a time?

    Yes. The LCM of 30 and 40 is 120, and the LCM of 120 and 50 is 600 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 600 divisible by 30, 40 and 50?

    Yes, and by definition it is the smallest positive integer that is: 600 ÷ 30, 600 ÷ 40 and 600 ÷ 50 all come out whole. Any other common multiple of 30, 40 and 50 is a multiple of 600.

    See Also