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    LCM for 180 and 240

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 180 and 240?

    Answer

    LCM of 180 and 240 is
    720

    (Seven hundred twenty)

    Finding LCM for 180 and 240 using GCF of these numbers

    The first method to find LCM for numbers 180 and 240 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 180 and 240 is 60, so

    LCM = (180 × 240) ÷ 60

    LCM = 43,200 ÷ 60

    LCM = 720

    Finding LCM for 180 and 240 by Listing Multiples

    The second method to find LCM for numbers 180 and 240 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 180: 180, 360, 540, 720, 900, 1,080

    Multiples of 240: 240, 480, 720, 960, 1,200

    So the LCM for 180 and 240 is 720

    Finding LCM for 180 and 240 by Prime Factorization

    Another method to find LCM for numbers 180 and 240 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

    All Prime Factors of 240: 2, 2, 2, 2, 3, 5 (exponent form: 24, 31, 51)

    24 × 32 × 51 = 720

    See Also

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    What is the LCM of 180 and 240?. The LCM of 180 and 240 is 720 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    180225900
    18022620,340
    18022740,860
    1802283,420
    18022941,220
    1802304,140
    18023113,860
    18023210,440
    18023341,940
    1802342,340
    1802358,460
    18023610,620
    18023714,220
    18023821,420
    18023943,020
    180240720
    18024143,380
    18024221,780
    1802434,860
    18024410,980
    1802458,820
    1802467,380
    18024744,460
    18024811,160
    18024914,940
    1802504,500
    18025145,180
    1802521,260
    18025345,540
    18025422,860

    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 180 and 240? (The answer is: 720). Select the first number (e.g. '180') and the second number (e.g. '240'). 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 180 and 240?

    LCM of 180 and 240 is 720

    How to find the LCM of 180 and 240 using prime factorization?

    To find the LCM of 180 and 240, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 720.

    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 180 and 240: LCM = 720, GCF = 60.