LCM for 210 and 350

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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

See Also

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