LCM for 10 and 330

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What's the Least Common Multiple (LCM) of 10 and 330?

Answer

LCM of 10 and 330 is
330

First common multiples: 330, 660, 990, …

As a common denominator: multiply the top and bottom of x/10 by 33.

10 divides 330 (330 ÷ 10 = 33), so the LCM is the larger number itself.

10 = 2 × 5

330 = 2 × 3 × 5 × 11

Prime10330Highest power
2222
3—33
5555
11—1111

— = 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 × 11 = 330

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FAQ

What's the Least Common Multiple (LCM) of 10 and 330?

LCM of 10 and 330 is 330

How to find the LCM of 10 and 330 using prime factorization?

To find the LCM of 10 and 330, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 330.

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 10 and 330: LCM = 330, GCF = 10.