Least Common Multiple of 486/929, 932/710

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/929, 932/710 quickly i.e. 226476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/929, 932/710 is 226476.

LCM(486/929, 932/710) = 226476

LCM of 486/929, 932/710

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 486/929,932/710

Given numbers are 486/929,932/710

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 486,932

Least Common Multiple of Numerators i.e. LCM of 486,932 is 226476.

GCF of Denominators means GCF of 929,710 as per the given fractions.

GCF of 929,710 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,932

LCM of Fractions 486/929,932/710 is 226476

2 486, 932
243, 466

∴ So the LCM of the given numbers is 2 x 243 x 466 = 226476

Least Common Multiple of 486,932 with GCF Formula

Least Common Multiple of 486,932 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 486,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,932) = 2

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

GCF(486,932) x common factors =2 x 1 = 2

LCM(486,932) = ( 486 × 932 ) / 2

LCM(486,932) = 452952 / 2

LCM(486,932) = 226476


Lets's calculate GCF of 929,710

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 226476/1

Therefore the LCM of Fractions 486/929,932/710 is 226476

Greatest Common Factor of 929,710 By Matching Biggest Common Factor Method

Greatest Common Factor of 929,710 By Matching Biggest Common Factor Method

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Greatest Common Factor

We found the factors 929,710 . The biggest common factor number is the GCF number.
So the greatest common factor 929,710 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 486/929, 932/710

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 486/929, 932/710?

Answer: LCM of Numerators as per given numbers 486/929, 932/710 is

LCM of Numerators i.e. for 486,932 is 226476

GCF of denominators i.e. for 929,710 is 1.

Thus, LCM of Fractions is 226476.Finally, LCM of Fractions for 486/929, 932/710 is 226476.