LCM for 50 and 180

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What's the Least Common Multiple (LCM) of 50 and 180?

Answer

LCM of 50 and 180 is
900

First common multiples: 900; 1,800; 2,700; …

900 is divisible by both: 900 ÷ 50 = 18, 900 ÷ 180 = 5 — and 18 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 18 and of y/180 by 5.

50 = 2 × 52

180 = 22 × 32 × 5

Prime50180Highest power
222222
3—3232
552552

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

LCM = 22 × 32 × 52 = 900

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LCM Table

Number 1Number 2LCM
5070350
50721,800
5075150
5080400
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

FAQ

What's the Least Common Multiple (LCM) of 50 and 180?

LCM of 50 and 180 is 900

How to find the LCM of 50 and 180 using prime factorization?

To find the LCM of 50 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 900.

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 180: LCM = 900, GCF = 10.

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