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    LCM for 10 and 120

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 10 and 120?

    Answer

    LCM of 10 and 120 is
    120

    (One hundred twenty)

    Finding LCM for 10 and 120 using GCF of these numbers

    The first method to find LCM for numbers 10 and 120 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 10 and 120 is 10, so

    LCM = (10 × 120) ÷ 10

    LCM = 1200 ÷ 10

    LCM = 120

    Finding LCM for 10 and 120 by Listing Multiples

    The second method to find LCM for numbers 10 and 120 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

    Multiples of 120: 120, 240, 360

    So the LCM for 10 and 120 is 120

    Finding LCM for 10 and 120 by Prime Factorization

    Another method to find LCM for numbers 10 and 120 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 120: 2, 2, 2, 3, 5 (exponent form: 23, 31, 51)

    23 × 51 × 31 = 120

    See Also

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    What is the LCM of 10 and 120?. The LCM of 10 and 120 is 120 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    1043430
    1044220
    104590
    1046230
    1048240
    105050
    1053530
    1055110
    1057570
    1058290
    1059590
    106060
    10100100
    10105210
    10110110
    10120120
    10135270
    10145290
    10150150
    10155310
    10180180
    10195390
    10200200
    10215430
    10225450
    10235470
    10250250
    10260260
    10265530
    10275550

    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 120? (The answer is: 120). Select the first number (e.g. '10') and the second number (e.g. '120'). 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 120?

    LCM of 10 and 120 is 120

    How to find the LCM of 10 and 120 using prime factorization?

    To find the LCM of 10 and 120, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 120.

    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 120: LCM = 120, GCF = 10.