LCM for 30 and 270

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What's the Least Common Multiple (LCM) of 30 and 270?

Answer

LCM of 30 and 270 is
270

First common multiples: 270, 540, 810, …

As a common denominator: multiply the top and bottom of x/30 by 9.

30 divides 270 (270 ÷ 30 = 9), so the LCM is the larger number itself.

30 = 2 × 3 × 5

270 = 2 × 33 × 5

Prime30270Highest power
2222
333333
5555

LCM = 2 × 33 × 5 = 270

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LCM Table

Number 1Number 2LCM
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
304452,670

FAQ

What's the Least Common Multiple (LCM) of 30 and 270?

LCM of 30 and 270 is 270

How to find the LCM of 30 and 270 using prime factorization?

To find the LCM of 30 and 270, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 270.

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 270: LCM = 270, GCF = 30.

See Also