Least Common Multiple of 490, 580, 822

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 490, 580, 822 i.e. 11680620 smallest integer divisible by all numbers.

Least common multiple (LCM) of 490, 580, 822 is 11680620.

LCM(490, 580, 822) = 11680620

LCM of 490, 580, 822

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

LCM of:

Least Common Multiple of 490,580,822

Least Common Multiple (LCM) of 490,580,822 is 11680620

2 490, 580, 822
5 245, 290, 411
49, 58, 411

∴ So the LCM of the given numbers is 2 x 5 x 49 x 58 x 411 = 11680620

Least Common Multiple of 490,580,822 with GCF Formula

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

We need to calculate greatest common factor of 490,580,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(490,580,822) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(490,580,822) x common factors =2 x 10 = 20

LCM(490,580,822) = ( 490 × 580 × 822 ) / 20

LCM(490,580,822) = 233612400 / 20

LCM(490,580,822) = 11680620

∴ Least Common Multiple of 490,580,822 is 11680620

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 490, 580, 822

1. What is the LCM of 490, 580, 822?

Answer: LCM of 490, 580, 822 is 11680620.

2. What are the Factors of 11680620?

Answer: Factors of 11680620 are . There are integers that are factors of 11680620

3. How to Find the LCM of 490, 580, 822 ?

Least Common Multiple of 490, 580, 822.

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(490, 580, 822) = 2 x 2 x 3 x 5 x 7 x 7 x 29 x 137 = 11680620.