Least Common Multiple of 561/76, 342/2714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 561/76, 342/2714 quickly i.e. 31977 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 561/76, 342/2714 is 31977.

LCM(561/76, 342/2714) = 31977

LCM of 561/76, 342/2714

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 561/76,342/2714

Given numbers are 561/76,342/2714

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 561,342

Least Common Multiple of Numerators i.e. LCM of 561,342 is 63954.

GCF of Denominators means GCF of 76,2714 as per the given fractions.

GCF of 76,2714 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 561,342

LCM of Fractions 561/76,342/2714 is 31977

3 561, 342
187, 114

∴ So the LCM of the given numbers is 3 x 187 x 114 = 63954

Least Common Multiple of 561,342 with GCF Formula

Least Common Multiple of 561,342 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 561,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,342) = 3

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

GCF(561,342) x common factors =3 x 1 = 3

LCM(561,342) = ( 561 × 342 ) / 3

LCM(561,342) = 191862 / 3

LCM(561,342) = 63954


Lets's calculate GCF of 76,2714

2 76, 2714
38, 1357

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63954/2

Therefore the LCM of Fractions 561/76,342/2714 is 31977

Greatest Common Factor of 76,2714 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,2714 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 2714

List of positive integer factors of 2714 that divides 2714 without a remainder.

1,2,23,46,59,118,1357,2714

Greatest Common Factor

We found the factors 76,2714 . The biggest common factor number is the GCF number.
So the greatest common factor 76,2714 is 2.


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 561/76, 342/2714

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 561/76, 342/2714?

Answer: LCM of Numerators as per given numbers 561/76, 342/2714 is

LCM of Numerators i.e. for 561,342 is 63954

GCF of denominators i.e. for 76,2714 is 2.

Thus, LCM of Fractions is 31977.Finally, LCM of Fractions for 561/76, 342/2714 is 31977.