Least Common Multiple of 309, 822, 490

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 309, 822, 490 i.e. 20743170 smallest integer divisible by all numbers.

Least common multiple (LCM) of 309, 822, 490 is 20743170.

LCM(309, 822, 490) = 20743170

LCM of 309, 822, 490

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

LCM of:

Least Common Multiple of 309,822,490

Least Common Multiple (LCM) of 309,822,490 is 20743170

2 309, 822, 490
3 309, 411, 245
103, 137, 245

∴ So the LCM of the given numbers is 2 x 3 x 103 x 137 x 245 = 20743170

Least Common Multiple of 309,822,490 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 309,822,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(309,822,490) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(309,822,490) x common factors =1 x 6 = 6

LCM(309,822,490) = ( 309 × 822 × 490 ) / 6

LCM(309,822,490) = 124459020 / 6

LCM(309,822,490) = 20743170

∴ Least Common Multiple of 309,822,490 is 20743170

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 309, 822, 490

1. What is the LCM of 309, 822, 490?

Answer: LCM of 309, 822, 490 is 20743170.

2. What are the Factors of 20743170?

Answer: Factors of 20743170 are . There are integers that are factors of 20743170

3. How to Find the LCM of 309, 822, 490 ?

Least Common Multiple of 309, 822, 490.

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(309, 822, 490) = 2 x 3 x 5 x 7 x 7 x 103 x 137 = 20743170.