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    LCM for 3 and 100

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 3 and 100?

    Answer

    LCM of 3 and 100 is
    300

    (Three hundred)

    Finding LCM for 3 and 100 using GCF of these numbers

    The first method to find LCM for numbers 3 and 100 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 3 and 100 is 1, so

    LCM = (3 × 100) ÷ 1

    LCM = 300 ÷ 1

    LCM = 300

    Finding LCM for 3 and 100 by Listing Multiples

    The second method to find LCM for numbers 3 and 100 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168, 171, 174, 177, 180, 183, 186, 189, 192, 195, 198, 201, 204, 207, 210, 213, 216, 219, 222, 225, 228, 231, 234, 237, 240, 243, 246, 249, 252, 255, 258, 261, 264, 267, 270, 273, 276, 279, 282, 285, 288, 291, 294, 297, 300, 303, 306

    Multiples of 100: 100, 200, 300, 400, 500

    So the LCM for 3 and 100 is 300

    Finding LCM for 3 and 100 by Prime Factorization

    Another method to find LCM for numbers 3 and 100 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 3: 3 (exponent form: 31)

    All Prime Factors of 100: 2, 2, 5, 5 (exponent form: 22, 52)

    31 × 22 × 52 = 300

    Related Calculations

    See Also

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    What is the LCM of 3 and 100?. The LCM of 3 and 100 is 300 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    31648
    31751
    31818
    31957
    32060
    32121
    32266
    32369
    32575
    32884
    33030
    33333
    335105
    33636
    337111
    33939
    34242
    34545
    346138
    349147
    35151
    352156
    35757
    358174
    359177
    36060
    365195
    37575
    38181
    3100300

    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 3 and 100? (The answer is: 300). Select the first number (e.g. '3') and the second number (e.g. '100'). 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 3 and 100?

    LCM of 3 and 100 is 300

    How to find the LCM of 3 and 100 using prime factorization?

    To find the LCM of 3 and 100, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.

    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 3 and 100: LCM = 300, GCF = 1.

    See Also