Least Common Multiple of 994, 714, 369, 204

Q: How to Find the LCM of 994, 714, 369, 204 ?

Least Common Multiple of 994, 714, 369, 204 = 12470724 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(994, 714, 369, 204) = 2 x 2 x 3 x 3 x 7 x 17 x 41 x 71 = 12470724.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 994, 714, 369, 204 i.e. 12470724 smallest integer divisible by all numbers.

Least common multiple (LCM) of 994, 714, 369, 204 is 12470724.

LCM(994, 714, 369, 204) = 12470724

LCM of 994, 714, 369, 204

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 994, 714, 369, 204 by common division method
Least Common Multiple of 994, 714, 369, 204 with GCF Formula

Least Common Multiple of 994,714,369,204

Least Common Multiple (LCM) of 994,714,369,204 is 12470724

2	994, 714, 369, 204
3	497, 357, 369, 102
7	497, 119, 123, 34
17	71, 17, 123, 34
	71, 1, 123, 2

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 71 x 1 x 123 x 2 = 12470724

Least Common Multiple of 994,714,369,204 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 994,714,369,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,714,369,204) = 1

common factors(in case of two or more numbers have common factors) = 4284

GCF(994,714,369,204) x common factors =1 x 4284 = 4284

LCM(994,714,369,204) = ( 994 × 714 × 369 × 204 ) / 4284

LCM(994,714,369,204) = 53424581616 / 4284

LCM(994,714,369,204) = 12470724

∴ Least Common Multiple of 994,714,369,204 is 12470724

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 994, 714, 369, 204

1. What is the LCM of 994, 714, 369, 204?

Answer: LCM of 994, 714, 369, 204 is 12470724.

2. What are the Factors of 12470724?

Answer: Factors of 12470724 are . There are integers that are factors of 12470724

3. How to Find the LCM of 994, 714, 369, 204 ?

Least Common Multiple of 994, 714, 369, 204.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(994, 714, 369, 204) = 2 x 2 x 3 x 3 x 7 x 17 x 41 x 71 = 12470724.