Least Common Multiple of 340/57, 793/54, 883/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 340/57, 793/54, 883/971 quickly i.e. 238074460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 340/57, 793/54, 883/971 is 238074460.

LCM(340/57, 793/54, 883/971) = 238074460

LCM of 340/57, 793/54, 883/971

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 340/57,793/54,883/971

Given numbers are 340/57,793/54,883/971

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 340,793,883

Least Common Multiple of Numerators i.e. LCM of 340,793,883 is 238074460.

GCF of Denominators means GCF of 57,54,971 as per the given fractions.

GCF of 57,54,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 340,793,883

LCM of Fractions 340/57,793/54,883/971 is 238074460

Given numbers has no common factors except 1. So, there LCM is their product i.e 238074460

Least Common Multiple of 340,793,883 with GCF Formula

Least Common Multiple of 340,793,883 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 340,793,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(340,793,883) = 1

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

GCF(340,793,883) x common factors =1 x 1 = 1

LCM(340,793,883) = ( 340 × 793 × 883 ) / 1

LCM(340,793,883) = 238074460 / 1

LCM(340,793,883) = 238074460


Lets's calculate GCF of 57,54,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238074460/1

Therefore the LCM of Fractions 340/57,793/54,883/971 is 238074460

Greatest Common Factor of 57,54,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,54,971 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 57,54,971 . The biggest common factor number is the GCF number.
So the greatest common factor 57,54,971 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 340/57, 793/54, 883/971

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 340/57, 793/54, 883/971?

Answer: LCM of Numerators as per given numbers 340/57, 793/54, 883/971 is

LCM of Numerators i.e. for 340,793,883 is 238074460

GCF of denominators i.e. for 57,54,971 is 1.

Thus, LCM of Fractions is 238074460.Finally, LCM of Fractions for 340/57, 793/54, 883/971 is 238074460.