Least Common Multiple of 57/79, 34/18, 714/761

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/79, 34/18, 714/761 quickly i.e. 13566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/79, 34/18, 714/761 is 13566.

LCM(57/79, 34/18, 714/761) = 13566

LCM of 57/79, 34/18, 714/761

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 57/79,34/18,714/761

Given numbers are 57/79,34/18,714/761

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 57,34,714

Least Common Multiple of Numerators i.e. LCM of 57,34,714 is 13566.

GCF of Denominators means GCF of 79,18,761 as per the given fractions.

GCF of 79,18,761 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,34,714

LCM of Fractions 57/79,34/18,714/761 is 13566

2 57, 34, 714
3 57, 17, 357
17 19, 17, 119
19, 1, 7

∴ So the LCM of the given numbers is 2 x 3 x 17 x 19 x 1 x 7 = 13566

Least Common Multiple of 57,34,714 with GCF Formula

Least Common Multiple of 57,34,714 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 57,34,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,34,714) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(57,34,714) x common factors =1 x 102 = 102

LCM(57,34,714) = ( 57 × 34 × 714 ) / 102

LCM(57,34,714) = 1383732 / 102

LCM(57,34,714) = 13566


Lets's calculate GCF of 79,18,761

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13566/1

Therefore the LCM of Fractions 57/79,34/18,714/761 is 13566

Greatest Common Factor of 79,18,761 By Matching Biggest Common Factor Method

Greatest Common Factor of 79,18,761 By Matching Biggest Common Factor Method

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Greatest Common Factor

We found the factors 79,18,761 . The biggest common factor number is the GCF number.
So the greatest common factor 79,18,761 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 57/79, 34/18, 714/761

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 57/79, 34/18, 714/761?

Answer: LCM of Numerators as per given numbers 57/79, 34/18, 714/761 is

LCM of Numerators i.e. for 57,34,714 is 13566

GCF of denominators i.e. for 79,18,761 is 1.

Thus, LCM of Fractions is 13566.Finally, LCM of Fractions for 57/79, 34/18, 714/761 is 13566.