Least Common Multiple of 679/400, 399/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 679/400, 399/561 quickly i.e. 38703 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/400, 399/561 is 38703.

LCM(679/400, 399/561) = 38703

LCM of 679/400, 399/561

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 679/400,399/561

Given numbers are 679/400,399/561

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 679,399

Least Common Multiple of Numerators i.e. LCM of 679,399 is 38703.

GCF of Denominators means GCF of 400,561 as per the given fractions.

GCF of 400,561 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,399

LCM of Fractions 679/400,399/561 is 38703

7 679, 399
97, 57

∴ So the LCM of the given numbers is 7 x 97 x 57 = 38703

Least Common Multiple of 679,399 with GCF Formula

Least Common Multiple of 679,399 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 679,399 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,399) = 7

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

GCF(679,399) x common factors =7 x 1 = 7

LCM(679,399) = ( 679 × 399 ) / 7

LCM(679,399) = 270921 / 7

LCM(679,399) = 38703


Lets's calculate GCF of 400,561

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38703/1

Therefore the LCM of Fractions 679/400,399/561 is 38703

Greatest Common Factor of 400,561 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,561 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Greatest Common Factor

We found the factors 400,561 . The biggest common factor number is the GCF number.
So the greatest common factor 400,561 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 679/400, 399/561

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 679/400, 399/561?

Answer: LCM of Numerators as per given numbers 679/400, 399/561 is

LCM of Numerators i.e. for 679,399 is 38703

GCF of denominators i.e. for 400,561 is 1.

Thus, LCM of Fractions is 38703.Finally, LCM of Fractions for 679/400, 399/561 is 38703.