Least Common Multiple of 679/736, 102/904, 397/731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/736, 102/904, 397/731 quickly i.e. 27495426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/736, 102/904, 397/731 is 27495426.

LCM(679/736, 102/904, 397/731) = 27495426

LCM of 679/736, 102/904, 397/731

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 679/736,102/904,397/731

Given numbers are 679/736,102/904,397/731

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 679,102,397

Least Common Multiple of Numerators i.e. LCM of 679,102,397 is 27495426.

GCF of Denominators means GCF of 736,904,731 as per the given fractions.

GCF of 736,904,731 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,102,397

LCM of Fractions 679/736,102/904,397/731 is 27495426

Given numbers has no common factors except 1. So, there LCM is their product i.e 27495426

Least Common Multiple of 679,102,397 with GCF Formula

Least Common Multiple of 679,102,397 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 679,102,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,102,397) = 1

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

GCF(679,102,397) x common factors =1 x 1 = 1

LCM(679,102,397) = ( 679 × 102 × 397 ) / 1

LCM(679,102,397) = 27495426 / 1

LCM(679,102,397) = 27495426


Lets's calculate GCF of 736,904,731

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27495426/1

Therefore the LCM of Fractions 679/736,102/904,397/731 is 27495426

Greatest Common Factor of 736,904,731 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,904,731 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

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 736,904,731 . The biggest common factor number is the GCF number.
So the greatest common factor 736,904,731 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 679/736, 102/904, 397/731

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 679/736, 102/904, 397/731?

Answer: LCM of Numerators as per given numbers 679/736, 102/904, 397/731 is

LCM of Numerators i.e. for 679,102,397 is 27495426

GCF of denominators i.e. for 736,904,731 is 1.

Thus, LCM of Fractions is 27495426.Finally, LCM of Fractions for 679/736, 102/904, 397/731 is 27495426.