LCM for 30 and 255

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What's the Least Common Multiple (LCM) of 30 and 255?

Answer

LCM of 30 and 255 is
510

First common multiples: 510; 1,020; 1,530; …

510 is divisible by both: 510 ÷ 30 = 17, 510 ÷ 255 = 2 — and 17 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/30 by 17 and of y/255 by 2.

30 = 2 × 3 × 5

255 = 3 × 5 × 17

Prime30255Highest power
22—2
3333
5555
17—1717

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

LCM = 2 × 3 × 5 × 17 = 510

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LCM Table

Number 1Number 2LCM
30105210
30110330
30120120
30145870
30155930
30165330
30170510
30180180
301851,110
30195390
302151,290
302351,410
302383,570
30240240
302451,470
30255510
30270270
302751,650
30280840
30285570
30290870
303352,010
303552,130
303652,190
303701,110
30390390
304001,200
30405810
30420420
30435870

FAQ

What's the Least Common Multiple (LCM) of 30 and 255?

LCM of 30 and 255 is 510

How to find the LCM of 30 and 255 using prime factorization?

To find the LCM of 30 and 255, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 510.

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 30 and 255: LCM = 510, GCF = 15.

See Also