LCM for 90 and 285

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What's the Least Common Multiple (LCM) of 90 and 285?

Answer

LCM of 90 and 285 is
1,710

First common multiples: 1,710; 3,420; 5,130; …

1,710 is divisible by both: 1,710 ÷ 90 = 19; 1,710 ÷ 285 = 6 — and 19 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/90 by 19 and of y/285 by 6.

90 = 2 × 32 × 5

285 = 3 × 5 × 19

Prime90285Highest power
22—2
332332
5555
19—1919

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

LCM = 2 × 32 × 5 × 19 = 1,710

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LCM Table

Number 1Number 2LCM
90150450
90165990
901901,710
902001,800
902053,690
90210630
902153,870
902302,070
902354,230
902502,250
902551,530
902602,340
90270270
902754,950
902802,520
902851,710
902902,610
903055,490
90315630
903452,070
90360360
903856,930
90405810
904257,650
904303,870
904403,960
904458,010
904604,140
904758,550
904904,410

FAQ

What's the Least Common Multiple (LCM) of 90 and 285?

LCM of 90 and 285 is 1,710

How to find the LCM of 90 and 285 using prime factorization?

To find the LCM of 90 and 285, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,710.

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 90 and 285: LCM = 1,710, GCF = 15.

See Also