Least Common Multiple of 679/34, 877/98, 113/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/34, 877/98, 113/723 quickly i.e. 67289579 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/34, 877/98, 113/723 is 67289579.

LCM(679/34, 877/98, 113/723) = 67289579

LCM of 679/34, 877/98, 113/723

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 679/34,877/98,113/723

Given numbers are 679/34,877/98,113/723

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 679,877,113

Least Common Multiple of Numerators i.e. LCM of 679,877,113 is 67289579.

GCF of Denominators means GCF of 34,98,723 as per the given fractions.

GCF of 34,98,723 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,877,113

LCM of Fractions 679/34,877/98,113/723 is 67289579

Given numbers has no common factors except 1. So, there LCM is their product i.e 67289579

Least Common Multiple of 679,877,113 with GCF Formula

Least Common Multiple of 679,877,113 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 679,877,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,877,113) = 1

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

GCF(679,877,113) x common factors =1 x 1 = 1

LCM(679,877,113) = ( 679 × 877 × 113 ) / 1

LCM(679,877,113) = 67289579 / 1

LCM(679,877,113) = 67289579


Lets's calculate GCF of 34,98,723

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67289579/1

Therefore the LCM of Fractions 679/34,877/98,113/723 is 67289579

Greatest Common Factor of 34,98,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,98,723 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 34,98,723 . The biggest common factor number is the GCF number.
So the greatest common factor 34,98,723 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 679/34, 877/98, 113/723

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 679/34, 877/98, 113/723?

Answer: LCM of Numerators as per given numbers 679/34, 877/98, 113/723 is

LCM of Numerators i.e. for 679,877,113 is 67289579

GCF of denominators i.e. for 34,98,723 is 1.

Thus, LCM of Fractions is 67289579.Finally, LCM of Fractions for 679/34, 877/98, 113/723 is 67289579.