LCM for 50 and 210

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What's the Least Common Multiple (LCM) of 50 and 210?

Answer

LCM of 50 and 210 is
1,050

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

1,050 is divisible by both: 1,050 ÷ 50 = 21; 1,050 ÷ 210 = 5 — and 21 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/50 by 21 and of y/210 by 5.

50 = 2 × 52

210 = 2 × 3 × 5 × 7

Prime50210Highest power
2222
3—33
552552
7—77

— = 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

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LCM Table

Number 1Number 2LCM
50882,200
5090450
50100100
501051,050
50120600
50125250
50130650
50140700
501451,450
50170850
50175350
50180900
501851,850
50200200
502052,050
502101,050
502201,100
502401,200
502452,450
50250250
502601,300
502852,850
503201,600
50325650
503301,650
503353,350
503453,450
503653,650
503701,850
50375750

FAQ

What's the Least Common Multiple (LCM) of 50 and 210?

LCM of 50 and 210 is 1,050

How to find the LCM of 50 and 210 using prime factorization?

To find the LCM of 50 and 210, 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 50 and 210: LCM = 1,050, GCF = 10.

See Also