Least Common Multiple of 57/50, 23/77, 761/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/50, 23/77, 761/123 quickly i.e. 997671 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/50, 23/77, 761/123 is 997671.

LCM(57/50, 23/77, 761/123) = 997671

LCM of 57/50, 23/77, 761/123

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 57/50,23/77,761/123

Given numbers are 57/50,23/77,761/123

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 57,23,761

Least Common Multiple of Numerators i.e. LCM of 57,23,761 is 997671.

GCF of Denominators means GCF of 50,77,123 as per the given fractions.

GCF of 50,77,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,23,761

LCM of Fractions 57/50,23/77,761/123 is 997671

Given numbers has no common factors except 1. So, there LCM is their product i.e 997671

Least Common Multiple of 57,23,761 with GCF Formula

Least Common Multiple of 57,23,761 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 57,23,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,23,761) = 1

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

GCF(57,23,761) x common factors =1 x 1 = 1

LCM(57,23,761) = ( 57 × 23 × 761 ) / 1

LCM(57,23,761) = 997671 / 1

LCM(57,23,761) = 997671


Lets's calculate GCF of 50,77,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 997671/1

Therefore the LCM of Fractions 57/50,23/77,761/123 is 997671

Greatest Common Factor of 50,77,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 50,77,123 By Matching Biggest Common Factor Method

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 77

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

1,7,11,77

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 50,77,123 . The biggest common factor number is the GCF number.
So the greatest common factor 50,77,123 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 57/50, 23/77, 761/123

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 57/50, 23/77, 761/123?

Answer: LCM of Numerators as per given numbers 57/50, 23/77, 761/123 is

LCM of Numerators i.e. for 57,23,761 is 997671

GCF of denominators i.e. for 50,77,123 is 1.

Thus, LCM of Fractions is 997671.Finally, LCM of Fractions for 57/50, 23/77, 761/123 is 997671.