Least Common Multiple of 57/77, 749/58, 361/138

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/77, 749/58, 361/138 quickly i.e. 811167 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/77, 749/58, 361/138 is 811167.

LCM(57/77, 749/58, 361/138) = 811167

LCM of 57/77, 749/58, 361/138

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 57/77,749/58,361/138

Given numbers are 57/77,749/58,361/138

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 57,749,361

Least Common Multiple of Numerators i.e. LCM of 57,749,361 is 811167.

GCF of Denominators means GCF of 77,58,138 as per the given fractions.

GCF of 77,58,138 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,749,361

LCM of Fractions 57/77,749/58,361/138 is 811167

19 57, 749, 361
3, 749, 19

∴ So the LCM of the given numbers is 19 x 3 x 749 x 19 = 811167

Least Common Multiple of 57,749,361 with GCF Formula

Least Common Multiple of 57,749,361 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 57,749,361 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,749,361) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(57,749,361) x common factors =1 x 19 = 19

LCM(57,749,361) = ( 57 × 749 × 361 ) / 19

LCM(57,749,361) = 15412173 / 19

LCM(57,749,361) = 811167


Lets's calculate GCF of 77,58,138

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 811167/1

Therefore the LCM of Fractions 57/77,749/58,361/138 is 811167

Greatest Common Factor of 77,58,138 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,58,138 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 138

List of positive integer factors of 138 that divides 138 without a remainder.

1,2,3,6,23,46,69,138

Greatest Common Factor

We found the factors 77,58,138 . The biggest common factor number is the GCF number.
So the greatest common factor 77,58,138 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 57/77, 749/58, 361/138

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 57/77, 749/58, 361/138?

Answer: LCM of Numerators as per given numbers 57/77, 749/58, 361/138 is

LCM of Numerators i.e. for 57,749,361 is 811167

GCF of denominators i.e. for 77,58,138 is 1.

Thus, LCM of Fractions is 811167.Finally, LCM of Fractions for 57/77, 749/58, 361/138 is 811167.