LCM for 60 and 240

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What's the Least Common Multiple (LCM) of 60 and 240?

Answer

LCM of 60 and 240 is
240

First common multiples: 240, 480, 720, …

As a common denominator: multiply the top and bottom of x/60 by 4.

60 divides 240 (240 ÷ 60 = 4), so the LCM is the larger number itself.

60 = 22 × 3 × 5

240 = 24 × 3 × 5

Prime60240Highest power
2222424
3333
5555

LCM = 24 × 3 × 5 = 240

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LCM Table

Number 1Number 2LCM
60108540
60110660
601251,500
60132660
60135540
60140420
60150300
601551,860
60160480
601752,100
601852,220
601901,140
602152,580
60220660
602352,820
60240240
602452,940
602501,500
60260780
602753,300
60280840
602901,740
603151,260
60320960
60330660
603401,020
603451,380
60360360
603654,380
603702,220

FAQ

What's the Least Common Multiple (LCM) of 60 and 240?

LCM of 60 and 240 is 240

How to find the LCM of 60 and 240 using prime factorization?

To find the LCM of 60 and 240, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 240.

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 240: LCM = 240, GCF = 60.

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