Least Common Multiple of 85/76, 724/63, 438/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/76, 724/63, 438/731 quickly i.e. 13477260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/76, 724/63, 438/731 is 13477260.

LCM(85/76, 724/63, 438/731) = 13477260

LCM of 85/76, 724/63, 438/731

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 85/76,724/63,438/731

Given numbers are 85/76,724/63,438/731

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 85,724,438

Least Common Multiple of Numerators i.e. LCM of 85,724,438 is 13477260.

GCF of Denominators means GCF of 76,63,731 as per the given fractions.

GCF of 76,63,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,724,438

LCM of Fractions 85/76,724/63,438/731 is 13477260

2 85, 724, 438
85, 362, 219

∴ So the LCM of the given numbers is 2 x 85 x 362 x 219 = 13477260

Least Common Multiple of 85,724,438 with GCF Formula

Least Common Multiple of 85,724,438 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 85,724,438 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,724,438) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(85,724,438) x common factors =1 x 2 = 2

LCM(85,724,438) = ( 85 × 724 × 438 ) / 2

LCM(85,724,438) = 26954520 / 2

LCM(85,724,438) = 13477260


Lets's calculate GCF of 76,63,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13477260/1

Therefore the LCM of Fractions 85/76,724/63,438/731 is 13477260

Greatest Common Factor of 76,63,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,63,731 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1,17,43,731

Greatest Common Factor

We found the factors 76,63,731 . The biggest common factor number is the GCF number.
So the greatest common factor 76,63,731 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 85/76, 724/63, 438/731

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 85/76, 724/63, 438/731?

Answer: LCM of Numerators as per given numbers 85/76, 724/63, 438/731 is

LCM of Numerators i.e. for 85,724,438 is 13477260

GCF of denominators i.e. for 76,63,731 is 1.

Thus, LCM of Fractions is 13477260.Finally, LCM of Fractions for 85/76, 724/63, 438/731 is 13477260.