Least Common Multiple of 123/57, 970/5471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 123/57, 970/5471 quickly i.e. 119310 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/57, 970/5471 is 119310.

LCM(123/57, 970/5471) = 119310

LCM of 123/57, 970/5471

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 123/57,970/5471

Given numbers are 123/57,970/5471

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 123,970

Least Common Multiple of Numerators i.e. LCM of 123,970 is 119310.

GCF of Denominators means GCF of 57,5471 as per the given fractions.

GCF of 57,5471 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,970

LCM of Fractions 123/57,970/5471 is 119310

Given numbers has no common factors except 1. So, there LCM is their product i.e 119310

Least Common Multiple of 123,970 with GCF Formula

Least Common Multiple of 123,970 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 123,970 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,970) = 1

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

GCF(123,970) x common factors =1 x 1 = 1

LCM(123,970) = ( 123 × 970 ) / 1

LCM(123,970) = 119310 / 1

LCM(123,970) = 119310


Lets's calculate GCF of 57,5471

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 119310/1

Therefore the LCM of Fractions 123/57,970/5471 is 119310

Greatest Common Factor of 57,5471 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,5471 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 5471

List of positive integer factors of 5471 that divides 5471 without a remainder.

1,5471

Greatest Common Factor

We found the factors 57,5471 . The biggest common factor number is the GCF number.
So the greatest common factor 57,5471 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 123/57, 970/5471

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 123/57, 970/5471?

Answer: LCM of Numerators as per given numbers 123/57, 970/5471 is

LCM of Numerators i.e. for 123,970 is 119310

GCF of denominators i.e. for 57,5471 is 1.

Thus, LCM of Fractions is 119310.Finally, LCM of Fractions for 123/57, 970/5471 is 119310.