Least Common Multiple of 679/305, 689/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/305, 689/139 quickly i.e. 467831 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/305, 689/139 is 467831.

LCM(679/305, 689/139) = 467831

LCM of 679/305, 689/139

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 679/305,689/139

Given numbers are 679/305,689/139

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 679,689

Least Common Multiple of Numerators i.e. LCM of 679,689 is 467831.

GCF of Denominators means GCF of 305,139 as per the given fractions.

GCF of 305,139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,689

LCM of Fractions 679/305,689/139 is 467831

Given numbers has no common factors except 1. So, there LCM is their product i.e 467831

Least Common Multiple of 679,689 with GCF Formula

Least Common Multiple of 679,689 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 679,689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,689) = 1

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

GCF(679,689) x common factors =1 x 1 = 1

LCM(679,689) = ( 679 × 689 ) / 1

LCM(679,689) = 467831 / 1

LCM(679,689) = 467831


Lets's calculate GCF of 305,139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 467831/1

Therefore the LCM of Fractions 679/305,689/139 is 467831

Greatest Common Factor of 305,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 305,139 By Matching Biggest Common Factor Method

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 305,139 . The biggest common factor number is the GCF number.
So the greatest common factor 305,139 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 679/305, 689/139

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 679/305, 689/139?

Answer: LCM of Numerators as per given numbers 679/305, 689/139 is

LCM of Numerators i.e. for 679,689 is 467831

GCF of denominators i.e. for 305,139 is 1.

Thus, LCM of Fractions is 467831.Finally, LCM of Fractions for 679/305, 689/139 is 467831.