Least Common Multiple of 579/805, 779/722, 318/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 579/805, 779/722, 318/755 quickly i.e. 47810346 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 579/805, 779/722, 318/755 is 47810346.

LCM(579/805, 779/722, 318/755) = 47810346

LCM of 579/805, 779/722, 318/755

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 579/805,779/722,318/755

Given numbers are 579/805,779/722,318/755

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 579,779,318

Least Common Multiple of Numerators i.e. LCM of 579,779,318 is 47810346.

GCF of Denominators means GCF of 805,722,755 as per the given fractions.

GCF of 805,722,755 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 579,779,318

LCM of Fractions 579/805,779/722,318/755 is 47810346

3 579, 779, 318
193, 779, 106

∴ So the LCM of the given numbers is 3 x 193 x 779 x 106 = 47810346

Least Common Multiple of 579,779,318 with GCF Formula

Least Common Multiple of 579,779,318 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 579,779,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,779,318) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(579,779,318) x common factors =1 x 3 = 3

LCM(579,779,318) = ( 579 × 779 × 318 ) / 3

LCM(579,779,318) = 143431038 / 3

LCM(579,779,318) = 47810346


Lets's calculate GCF of 805,722,755

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47810346/1

Therefore the LCM of Fractions 579/805,779/722,318/755 is 47810346

Greatest Common Factor of 805,722,755 By Matching Biggest Common Factor Method

Greatest Common Factor of 805,722,755 By Matching Biggest Common Factor Method

Factors of 805

List of positive integer factors of 805 that divides 805 without a remainder.

1,5,7,23,35,115,161,805

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Greatest Common Factor

We found the factors 805,722,755 . The biggest common factor number is the GCF number.
So the greatest common factor 805,722,755 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 579/805, 779/722, 318/755

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 579/805, 779/722, 318/755?

Answer: LCM of Numerators as per given numbers 579/805, 779/722, 318/755 is

LCM of Numerators i.e. for 579,779,318 is 47810346

GCF of denominators i.e. for 805,722,755 is 1.

Thus, LCM of Fractions is 47810346.Finally, LCM of Fractions for 579/805, 779/722, 318/755 is 47810346.