Least Common Multiple of 579/742, 852/243, 321/461

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 579/742, 852/243, 321/461 quickly i.e. 17594652 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 579/742, 852/243, 321/461 is 17594652.

LCM(579/742, 852/243, 321/461) = 17594652

LCM of 579/742, 852/243, 321/461

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 579/742,852/243,321/461

Given numbers are 579/742,852/243,321/461

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 579,852,321

Least Common Multiple of Numerators i.e. LCM of 579,852,321 is 17594652.

GCF of Denominators means GCF of 742,243,461 as per the given fractions.

GCF of 742,243,461 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 579,852,321

LCM of Fractions 579/742,852/243,321/461 is 17594652

3 579, 852, 321
193, 284, 107

∴ So the LCM of the given numbers is 3 x 193 x 284 x 107 = 17594652

Least Common Multiple of 579,852,321 with GCF Formula

Least Common Multiple of 579,852,321 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 579,852,321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(579,852,321) = 3

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

GCF(579,852,321) x common factors =3 x 3 = 9

LCM(579,852,321) = ( 579 × 852 × 321 ) / 9

LCM(579,852,321) = 158351868 / 9

LCM(579,852,321) = 17594652


Lets's calculate GCF of 742,243,461

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17594652/1

Therefore the LCM of Fractions 579/742,852/243,321/461 is 17594652

Greatest Common Factor of 742,243,461 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,243,461 By Matching Biggest Common Factor Method

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Greatest Common Factor

We found the factors 742,243,461 . The biggest common factor number is the GCF number.
So the greatest common factor 742,243,461 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 579/742, 852/243, 321/461

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 579/742, 852/243, 321/461?

Answer: LCM of Numerators as per given numbers 579/742, 852/243, 321/461 is

LCM of Numerators i.e. for 579,852,321 is 17594652

GCF of denominators i.e. for 742,243,461 is 1.

Thus, LCM of Fractions is 17594652.Finally, LCM of Fractions for 579/742, 852/243, 321/461 is 17594652.