LCM for 30 and 238

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What's the Least Common Multiple (LCM) of 30 and 238?

Answer

LCM of 30 and 238 is
3,570

First common multiples: 3,570; 7,140; 10,710; …

3,570 is divisible by both: 3,570 ÷ 30 = 119; 3,570 ÷ 238 = 15 — and 119 and 15 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/30 by 119 and of y/238 by 15.

30 = 2 × 3 × 5

238 = 2 × 7 × 17

Prime30238Highest power
2222
33—3
55—5
7—77
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 × 7 × 17 = 3,570

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
3080240
3096480
30100300
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

FAQ

What's the Least Common Multiple (LCM) of 30 and 238?

LCM of 30 and 238 is 3,570

How to find the LCM of 30 and 238 using prime factorization?

To find the LCM of 30 and 238, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 3,570.

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 238: LCM = 3,570, GCF = 2.

See Also