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    LCM for 480 and 720

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 480 and 720?

    Answer

    LCM of 480 and 720 is
    1,440

    First common multiples: 1,440; 2,880; 4,320; …

    1,440 is divisible by both: 1,440 ÷ 480 = 3; 1,440 ÷ 720 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/480 by 3 and of y/720 by 2.

    480 = 25 × 3 × 5

    720 = 24 × 32 × 5

    Prime480720Highest power
    2252425
    333232
    5555

    LCM = 25 × 32 × 5 = 1,440

    More with these numbers

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    What is the LCM of 480 and 720? The LCM of 480 and 720 is 1,440 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    48070522,560
    480706169,440
    480707339,360
    48070828,320
    480709340,320
    48071034,080
    480711113,760
    48071242,720
    480713342,240
    48071457,120
    48071568,640
    48071685,920
    480717114,720
    480718172,320
    480719345,120
    4807201,440
    480721346,080
    480722173,280
    480723115,680
    48072486,880
    48072569,600
    48072658,080
    480727348,960
    48072843,680
    480729116,640
    48073035,040
    480731350,880
    48073229,280
    480733351,840
    480734176,160

    FAQ

    What's the Least Common Multiple (LCM) of 480 and 720?

    LCM of 480 and 720 is 1,440

    How to find the LCM of 480 and 720 using prime factorization?

    To find the LCM of 480 and 720, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,440.

    What is the difference between LCM and GCF?

    LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 480 and 720: LCM = 1,440, GCF = 240.

    See Also