Least Common Multiple of 684, 509, 493

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 684, 509, 493 i.e. 171640908 smallest integer divisible by all numbers.

Least common multiple (LCM) of 684, 509, 493 is 171640908.

LCM(684, 509, 493) = 171640908

LCM of 684, 509, 493

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

LCM of:

Least Common Multiple of 684,509,493

Least Common Multiple (LCM) of 684,509,493 is 171640908

Given numbers has no common factors except 1. So, there LCM is their product i.e 171640908

Least Common Multiple of 684,509,493 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 684,509,493 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(684,509,493) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(684,509,493) x common factors =1 x 1 = 1

LCM(684,509,493) = ( 684 × 509 × 493 ) / 1

LCM(684,509,493) = 171640908 / 1

LCM(684,509,493) = 171640908

∴ Least Common Multiple of 684,509,493 is 171640908

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 684, 509, 493

1. What is the LCM of 684, 509, 493?

Answer: LCM of 684, 509, 493 is 171640908.

2. What are the Factors of 171640908?

Answer: Factors of 171640908 are . There are integers that are factors of 171640908

3. How to Find the LCM of 684, 509, 493 ?

Least Common Multiple of 684, 509, 493.

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(684, 509, 493) = 2 x 2 x 3 x 3 x 17 x 19 x 29 x 509 = 171640908.