Least Common Multiple of 322/804, 204/285, 490/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 322/804, 204/285, 490/979 quickly i.e. 1149540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 322/804, 204/285, 490/979 is 1149540.

LCM(322/804, 204/285, 490/979) = 1149540

LCM of 322/804, 204/285, 490/979

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 322/804,204/285,490/979

Given numbers are 322/804,204/285,490/979

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 322,204,490

Least Common Multiple of Numerators i.e. LCM of 322,204,490 is 1149540.

GCF of Denominators means GCF of 804,285,979 as per the given fractions.

GCF of 804,285,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 322,204,490

LCM of Fractions 322/804,204/285,490/979 is 1149540

2 322, 204, 490
7 161, 102, 245
23, 102, 35

∴ So the LCM of the given numbers is 2 x 7 x 23 x 102 x 35 = 1149540

Least Common Multiple of 322,204,490 with GCF Formula

Least Common Multiple of 322,204,490 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 322,204,490 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,204,490) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(322,204,490) x common factors =2 x 14 = 28

LCM(322,204,490) = ( 322 × 204 × 490 ) / 28

LCM(322,204,490) = 32187120 / 28

LCM(322,204,490) = 1149540


Lets's calculate GCF of 804,285,979

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1149540/1

Therefore the LCM of Fractions 322/804,204/285,490/979 is 1149540

Greatest Common Factor of 804,285,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 804,285,979 By Matching Biggest Common Factor Method

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 804,285,979 . The biggest common factor number is the GCF number.
So the greatest common factor 804,285,979 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 322/804, 204/285, 490/979

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 322/804, 204/285, 490/979?

Answer: LCM of Numerators as per given numbers 322/804, 204/285, 490/979 is

LCM of Numerators i.e. for 322,204,490 is 1149540

GCF of denominators i.e. for 804,285,979 is 1.

Thus, LCM of Fractions is 1149540.Finally, LCM of Fractions for 322/804, 204/285, 490/979 is 1149540.