LCM for 60 and 400

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What's the Least Common Multiple (LCM) of 60 and 400?

Answer

LCM of 60 and 400 is
1,200

First common multiples: 1,200; 2,400; 3,600; …

1,200 is divisible by both: 1,200 ÷ 60 = 20; 1,200 ÷ 400 = 3 — and 20 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/60 by 20 and of y/400 by 3.

60 = 22 × 3 × 5

400 = 24 × 52

Prime60400Highest power
2222424
33—3
555252

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

LCM = 24 × 3 × 52 = 1,200

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LCM Table

Number 1Number 2LCM
602152,580
60220660
602352,820
602452,940
602501,500
60260780
602753,300
60280840
602901,740
603151,260
60320960
60330660
603401,020
603451,380
60360360
603654,380
603702,220
60390780
604001,200
604102,460
604154,980
604302,580
604351,740
604455,340
60450900
604555,460
604651,860
604902,940
604951,980
605001,500

FAQ

What's the Least Common Multiple (LCM) of 60 and 400?

LCM of 60 and 400 is 1,200

How to find the LCM of 60 and 400 using prime factorization?

To find the LCM of 60 and 400, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,200.

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 60 and 400: LCM = 1,200, GCF = 20.

See Also