LCM for 30 and 56

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What's the Least Common Multiple (LCM) of 30 and 56?

Answer

LCM of 30 and 56 is
840

First common multiples: 840; 1,680; 2,520; …

840 is divisible by both: 840 ÷ 30 = 28, 840 ÷ 56 = 15 — and 28 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 28 and of y/56 by 15.

30 = 2 × 3 × 5

56 = 23 × 7

Prime3056Highest power
222323
33—3
55—5
7—77

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

LCM = 23 × 3 × 5 × 7 = 840

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LCM Table

Number 1Number 2LCM
3033330
3034510
3035210
3036180
30371,110
3038570
3040120
3042210
30431,290
304590
3046690
3050150
3055330
3056840
3057570
3058870
306060
3070210
3075150
3080240
30100300
30105210
30110330
30120120
30145870
30155930
30165330
30170510
30180180
301851,110

FAQ

What's the Least Common Multiple (LCM) of 30 and 56?

LCM of 30 and 56 is 840

How to find the LCM of 30 and 56 using prime factorization?

To find the LCM of 30 and 56, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 840.

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 56: LCM = 840, GCF = 2.

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