LCM for 50 and 320

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What's the Least Common Multiple (LCM) of 50 and 320?

Answer

LCM of 50 and 320 is
1,600

First common multiples: 1,600; 3,200; 4,800; …

1,600 is divisible by both: 1,600 ÷ 50 = 32; 1,600 ÷ 320 = 5 — and 32 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 32 and of y/320 by 5.

50 = 2 × 52

320 = 26 × 5

Prime50320Highest power
222626
552552

LCM = 26 × 52 = 1,600

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LCM Table

Number 1Number 2LCM
50130650
50140700
501451,450
50170850
50175350
50180900
501851,850
50200200
502052,050
502101,050
502401,200
502452,450
50250250
502601,300
502852,850
503201,600
50325650
503301,650
503353,350
503453,450
503653,650
503701,850
503801,900
503901,950
504054,050
504102,050
504154,150
504302,150
504402,200
504702,350

FAQ

What's the Least Common Multiple (LCM) of 50 and 320?

LCM of 50 and 320 is 1,600

How to find the LCM of 50 and 320 using prime factorization?

To find the LCM of 50 and 320, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,600.

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 320: LCM = 1,600, GCF = 10.

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