Least Common Multiple of 814, 828, 979, 389, 317

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 814, 828, 979, 389, 317 i.e. 3698482909572 smallest integer divisible by all numbers.

Least common multiple (LCM) of 814, 828, 979, 389, 317 is 3698482909572.

LCM(814, 828, 979, 389, 317) = 3698482909572

LCM of 814, 828, 979, 389, 317

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

LCM of:

Least Common Multiple of 814,828,979,389,317

Least Common Multiple (LCM) of 814,828,979,389,317 is 3698482909572

2 814, 828, 979, 389, 317
11 407, 414, 979, 389, 317
37, 414, 89, 389, 317

∴ So the LCM of the given numbers is 2 x 11 x 37 x 414 x 89 x 389 x 317 = 3698482909572

Least Common Multiple of 814,828,979,389,317 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 814,828,979,389,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,828,979,389,317) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(814,828,979,389,317) x common factors =1 x 22 = 22

LCM(814,828,979,389,317) = ( 814 × 828 × 979 × 389 × 317 ) / 22

LCM(814,828,979,389,317) = 81366624010584 / 22

LCM(814,828,979,389,317) = 3698482909572

∴ Least Common Multiple of 814,828,979,389,317 is 3698482909572

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 814, 828, 979, 389, 317

1. What is the LCM of 814, 828, 979, 389, 317?

Answer: LCM of 814, 828, 979, 389, 317 is 3698482909572.

2. What are the Factors of 3698482909572?

Answer: Factors of 3698482909572 are . There are integers that are factors of 3698482909572

3. How to Find the LCM of 814, 828, 979, 389, 317 ?

Least Common Multiple of 814, 828, 979, 389, 317.

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(814, 828, 979, 389, 317) = 2 x 2 x 3 x 3 x 11 x 23 x 37 x 89 x 317 x 389 = 3698482909572.