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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

    (One thousand four hundred forty)

    Finding LCM for 480 and 720 using GCF of these numbers

    The first method to find LCM for numbers 480 and 720 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 480 and 720 is 240, so

    LCM = (480 × 720) ÷ 240

    LCM = 345600 ÷ 240

    LCM = 1440

    Finding LCM for 480 and 720 by Listing Multiples

    The second method to find LCM for numbers 480 and 720 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 480: 480, 960, 1440, 1920, 2400

    Multiples of 720: 720, 1440, 2160, 2880

    So the LCM for 480 and 720 is 1440

    Finding LCM for 480 and 720 by Prime Factorization

    Another method to find LCM for numbers 480 and 720 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 480: 2, 2, 2, 2, 2, 3, 5 (exponent form: 25, 31, 51)

    All Prime Factors of 720: 2, 2, 2, 2, 3, 3, 5 (exponent form: 24, 32, 51)

    25 × 32 × 51 = 1440

    Related Calculations

    See Also

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    What is the LCM of 480 and 720?. The LCM of 480 and 720 is 1440 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    48070522560
    480706169440
    480707339360
    48070828320
    480709340320
    48071034080
    480711113760
    48071242720
    480713342240
    48071457120
    48071568640
    48071685920
    480717114720
    480718172320
    480719345120
    4807201440
    480721346080
    480722173280
    480723115680
    48072486880
    48072569600
    48072658080
    480727348960
    48072843680
    480729116640
    48073035040
    480731350880
    48073229280
    480733351840
    480734176160

    About "Least Common Multiple" Calculator

    This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 480 and 720? (The answer is: 1440). Select the first number (e.g. '480') and the second number (e.g. '720'). After that hit the 'Calculate' button.
    Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    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