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    LCM for 228 and 380

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 228 and 380?

    Answer

    LCM of 228 and 380 is
    1,140

    (One thousand one hundred forty)

    Finding LCM for 228 and 380 using GCF of these numbers

    The first method to find LCM for numbers 228 and 380 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 228 and 380 is 76, so

    LCM = (228 × 380) ÷ 76

    LCM = 86640 ÷ 76

    LCM = 1140

    Finding LCM for 228 and 380 by Listing Multiples

    The second method to find LCM for numbers 228 and 380 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 228: 228, 456, 684, 912, 1140, 1368, 1596

    Multiples of 380: 380, 760, 1140, 1520, 1900

    So the LCM for 228 and 380 is 1140

    Finding LCM for 228 and 380 by Prime Factorization

    Another method to find LCM for numbers 228 and 380 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 228: 2, 2, 3, 19 (exponent form: 22, 31, 191)

    All Prime Factors of 380: 2, 2, 5, 19 (exponent form: 22, 51, 191)

    22 × 31 × 191 × 51 = 1140

    Related Calculations

    See Also

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    What is the LCM of 228 and 380?. The LCM of 228 and 380 is 1140 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    22836583220
    22836613908
    22836783676
    22836820976
    22836928044
    22837042180
    22837184588
    2283727068
    22837385044
    22837442636
    22837528500
    22837621432
    22837785956
    22837814364
    22837986412
    2283801140
    22838128956
    22838243548
    22838387324
    2283847296
    22838587780
    22838644004
    22838729412
    22838822116
    22838988692
    22839014820
    22839189148
    22839222344
    22839329868
    22839444916

    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 228 and 380? (The answer is: 1140). Select the first number (e.g. '228') and the second number (e.g. '380'). 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 228 and 380?

    LCM of 228 and 380 is 1,140

    How to find the LCM of 228 and 380 using prime factorization?

    To find the LCM of 228 and 380, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,140.

    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 228 and 380: LCM = 1,140, GCF = 76.

    See Also