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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

    First common multiples: 1,050; 2,100; 3,150; …

    1,050 is divisible by both: 1,050 ÷ 210 = 5; 1,050 ÷ 350 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/210 by 5 and of y/350 by 3.

    210 = 2 × 3 × 5 × 7

    350 = 2 × 52 × 7

    Prime210350Highest power
    2222
    33—3
    555252
    7777

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 2 × 3 × 52 × 7 = 1,050

    More with these numbers

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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

    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