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    LCM for 270 and 900

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 270 and 900?

    Answer

    LCM of 270 and 900 is
    2,700

    (Two thousand seven hundred)

    Finding LCM for 270 and 900 using GCF of these numbers

    The first method to find LCM for numbers 270 and 900 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 270 and 900 is 90, so

    LCM = (270 × 900) ÷ 90

    LCM = 243,000 ÷ 90

    LCM = 2,700

    Finding LCM for 270 and 900 by Listing Multiples

    The second method to find LCM for numbers 270 and 900 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 270: 270, 540, 810, 1,080, 1,350, 1,620, 1,890, 2,160, 2,430, 2,700, 2,970, 3,240

    Multiples of 900: 900, 1,800, 2,700, 3,600, 4,500

    So the LCM for 270 and 900 is 2,700

    Finding LCM for 270 and 900 by Prime Factorization

    Another method to find LCM for numbers 270 and 900 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 270: 2, 3, 3, 3, 5 (exponent form: 21, 33, 51)

    All Prime Factors of 900: 2, 2, 3, 3, 5, 5 (exponent form: 22, 32, 52)

    22 × 33 × 52 = 2,700

    Related Calculations

    See Also

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    What is the LCM of 270 and 900?. The LCM of 270 and 900 is 2,700 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    27088515,930
    270886119,610
    270887239,490
    27088839,960
    270889240,030
    27089024,030
    2708918,910
    270892120,420
    270893241,110
    27089440,230
    27089548,330
    270896120,960
    27089780,730
    270898121,230
    270899242,730
    2709002,700
    270901243,270
    270902121,770
    27090381,270
    270904122,040
    27090548,870
    27090640,770
    270907244,890
    270908122,580
    27090927,270
    27091024,570
    270911245,970
    27091241,040
    270913246,510
    270914123,390

    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 270 and 900? (The answer is: 2,700). Select the first number (e.g. '270') and the second number (e.g. '900'). 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 270 and 900?

    LCM of 270 and 900 is 2,700

    How to find the LCM of 270 and 900 using prime factorization?

    To find the LCM of 270 and 900, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,700.

    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 270 and 900: LCM = 2,700, GCF = 90.

    See Also