Least Common Multiple of 980/42, 793/64, 743/871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 980/42, 793/64, 743/871 quickly i.e. 577415020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 980/42, 793/64, 743/871 is 577415020.

LCM(980/42, 793/64, 743/871) = 577415020

LCM of 980/42, 793/64, 743/871

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 980/42,793/64,743/871

Given numbers are 980/42,793/64,743/871

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 980,793,743

Least Common Multiple of Numerators i.e. LCM of 980,793,743 is 577415020.

GCF of Denominators means GCF of 42,64,871 as per the given fractions.

GCF of 42,64,871 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 980,793,743

LCM of Fractions 980/42,793/64,743/871 is 577415020

Given numbers has no common factors except 1. So, there LCM is their product i.e 577415020

Least Common Multiple of 980,793,743 with GCF Formula

Least Common Multiple of 980,793,743 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 980,793,743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,793,743) = 1

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

GCF(980,793,743) x common factors =1 x 1 = 1

LCM(980,793,743) = ( 980 × 793 × 743 ) / 1

LCM(980,793,743) = 577415020 / 1

LCM(980,793,743) = 577415020


Lets's calculate GCF of 42,64,871

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 577415020/1

Therefore the LCM of Fractions 980/42,793/64,743/871 is 577415020

Greatest Common Factor of 42,64,871 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,64,871 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Greatest Common Factor

We found the factors 42,64,871 . The biggest common factor number is the GCF number.
So the greatest common factor 42,64,871 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 980/42, 793/64, 743/871

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 980/42, 793/64, 743/871?

Answer: LCM of Numerators as per given numbers 980/42, 793/64, 743/871 is

LCM of Numerators i.e. for 980,793,743 is 577415020

GCF of denominators i.e. for 42,64,871 is 1.

Thus, LCM of Fractions is 577415020.Finally, LCM of Fractions for 980/42, 793/64, 743/871 is 577415020.