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    LCM for 210 and 350

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 210 and 350?

    Answer

    LCM of 210 and 350 is
    1,050

    (One thousand fifty)

    Finding LCM for 210 and 350 using GCF of these numbers

    The first method to find LCM for numbers 210 and 350 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 210 and 350 is 70, so

    LCM = (210 × 350) ÷ 70

    LCM = 73,500 ÷ 70

    LCM = 1,050

    Finding LCM for 210 and 350 by Listing Multiples

    The second method to find LCM for numbers 210 and 350 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 210: 210, 420, 630, 840, 1050, 1260, 1470

    Multiples of 350: 350, 700, 1050, 1400, 1750

    So the LCM for 210 and 350 is 1,050

    Finding LCM for 210 and 350 by Prime Factorization

    Another method to find LCM for numbers 210 and 350 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 210: 2, 3, 5, 7 (exponent form: 21, 31, 51, 71)

    All Prime Factors of 350: 2, 5, 5, 7 (exponent form: 21, 52, 71)

    21 × 31 × 52 × 71 = 1,050

    Related Calculations

    See Also

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    What is the LCM of 210 and 350?. The LCM of 210 and 350 is 1,050 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    21033514,070
    2103361,680
    21033770,770
    21033835,490
    21033923,730
    2103407,140
    21034171,610
    21034211,970
    21034310,290
    21034436,120
    2103454,830
    21034636,330
    21034772,870
    21034812,180
    21034973,290
    2103501,050
    21035124,570
    21035236,960
    21035374,130
    21035412,390
    21035514,910
    21035637,380
    2103573,570
    21035837,590
    21035975,390
    2103602,520
    21036175,810
    21036238,010
    21036325,410
    2103645,460

    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 210 and 350? (The answer is: 1,050). Select the first number (e.g. '210') and the second number (e.g. '350'). 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 210 and 350?

    LCM of 210 and 350 is 1,050

    How to find the LCM of 210 and 350 using prime factorization?

    To find the LCM of 210 and 350, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,050.

    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 210 and 350: LCM = 1,050, GCF = 70.

    See Also