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 25, 30 and 50

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

    What's the Least Common Multiple (LCM) of 25, 30 and 50?

    Answer

    LCM of 25, 30 and 50 is
    150

    First common multiples: 150, 300, 450, …

    150 is divisible by all three: 150 ÷ 25 = 6, 150 ÷ 30 = 5, 150 ÷ 50 = 3 — and 6, 5 and 3 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/25 by 6 and of y/30 by 5 and of z/50 by 3.

    25 = 52

    30 = 2 × 3 × 5

    50 = 2 × 52

    Prime253050Highest power
    2—222
    3—3—3
    55255252

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

    LCM = 2 × 3 × 52 = 150

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/25--30--50Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/25--30--50">What is the LCM of 25, 30 and 50? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 25, 30 and 50? The LCM of 25, 30 and 50 is 150 — 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/25--30--50/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    2530351,050
    253036900
    2530375,550
    2530382,850
    2530391,950
    253040600
    2530416,150
    2530421,050
    2530436,450
    2530443,300
    253045450
    2530463,450
    2530477,050
    2530481,200
    2530497,350
    253050150
    2530512,550
    2530523,900
    2530537,950
    2530541,350
    2530551,650
    2530564,200
    2530572,850
    2530584,350
    2530598,850
    253060300
    2530619,150
    2530624,650
    2530633,150
    2530644,800

    FAQ

    What's the Least Common Multiple (LCM) of 25, 30 and 50?

    LCM of 25, 30 and 50 is 150

    How to find the LCM of 25, 30 and 50 by prime factorization?

    Take every prime that appears in 25, 30 and 50 to the highest power it reaches in any one of them and multiply: 2 × 3 × 5² = 150.

    Can you get the LCM of 25, 30 and 50 two numbers at a time?

    Yes. The LCM of 25 and 30 is 150, and the LCM of 150 and 50 is 150 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 150 divisible by 25, 30 and 50?

    Yes, and by definition it is the smallest positive integer that is: 150 ÷ 25, 150 ÷ 30 and 150 ÷ 50 all come out whole. Any other common multiple of 25, 30 and 50 is a multiple of 150.

    See Also