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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 = 345,600 ÷ 240

    LCM = 1,440

    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, 1,440, 1,920, 2,400

    Multiples of 720: 720, 1,440, 2,160, 2,880

    So the LCM for 480 and 720 is 1,440

    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 = 1,440

    Related Calculations

    See Also

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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

    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: 1,440). 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