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    LCM for 10 and 500

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 10 and 500?

    Answer

    LCM of 10 and 500 is
    500

    (Five hundred)

    Finding LCM for 10 and 500 using GCF of these numbers

    The first method to find LCM for numbers 10 and 500 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 10 and 500 is 10, so

    LCM = (10 × 500) ÷ 10

    LCM = 5000 ÷ 10

    LCM = 500

    Finding LCM for 10 and 500 by Listing Multiples

    The second method to find LCM for numbers 10 and 500 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400, 410, 420, 430, 440, 450, 460, 470, 480, 490, 500, 510, 520

    Multiples of 500: 500, 1000, 1500

    So the LCM for 10 and 500 is 500

    Finding LCM for 10 and 500 by Prime Factorization

    Another method to find LCM for numbers 10 and 500 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 10: 2, 5 (exponent form: 21, 51)

    All Prime Factors of 500: 2, 2, 5, 5, 5 (exponent form: 22, 53)

    22 × 53 = 500

    Related Calculations

    See Also

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    What is the LCM of 10 and 500?. The LCM of 10 and 500 is 500 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    10235470
    10250250
    10260260
    10265530
    10275550
    10280280
    10305610
    10310310
    10320320
    10325650
    10330330
    10350350
    10355710
    10360360
    10370370
    10380380
    10385770
    10390390
    10400400
    10405810
    10420420
    10435870
    10440440
    10445890
    10460460
    10470470
    10480480
    10485970
    10500500
    1010001000

    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 10 and 500? (The answer is: 500). Select the first number (e.g. '10') and the second number (e.g. '500'). 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 10 and 500?

    LCM of 10 and 500 is 500

    How to find the LCM of 10 and 500 using prime factorization?

    To find the LCM of 10 and 500, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 500.

    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 10 and 500: LCM = 500, GCF = 10.

    See Also