Least Common Multiple of 791/399, 179/466, 724/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 791/399, 179/466, 724/886 quickly i.e. 102510436 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 791/399, 179/466, 724/886 is 102510436.

LCM(791/399, 179/466, 724/886) = 102510436

LCM of 791/399, 179/466, 724/886

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 791/399,179/466,724/886

Given numbers are 791/399,179/466,724/886

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 791,179,724

Least Common Multiple of Numerators i.e. LCM of 791,179,724 is 102510436.

GCF of Denominators means GCF of 399,466,886 as per the given fractions.

GCF of 399,466,886 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 791,179,724

LCM of Fractions 791/399,179/466,724/886 is 102510436

Given numbers has no common factors except 1. So, there LCM is their product i.e 102510436

Least Common Multiple of 791,179,724 with GCF Formula

Least Common Multiple of 791,179,724 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 791,179,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(791,179,724) = 1

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

GCF(791,179,724) x common factors =1 x 1 = 1

LCM(791,179,724) = ( 791 × 179 × 724 ) / 1

LCM(791,179,724) = 102510436 / 1

LCM(791,179,724) = 102510436


Lets's calculate GCF of 399,466,886

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102510436/1

Therefore the LCM of Fractions 791/399,179/466,724/886 is 102510436

Greatest Common Factor of 399,466,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,466,886 By Matching Biggest Common Factor Method

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 399,466,886 . The biggest common factor number is the GCF number.
So the greatest common factor 399,466,886 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 791/399, 179/466, 724/886

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 791/399, 179/466, 724/886?

Answer: LCM of Numerators as per given numbers 791/399, 179/466, 724/886 is

LCM of Numerators i.e. for 791,179,724 is 102510436

GCF of denominators i.e. for 399,466,886 is 1.

Thus, LCM of Fractions is 102510436.Finally, LCM of Fractions for 791/399, 179/466, 724/886 is 102510436.