Least Common Multiple of 71/980, 5824/6883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/980, 5824/6883 quickly i.e. 413504 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/980, 5824/6883 is 413504.

LCM(71/980, 5824/6883) = 413504

LCM of 71/980, 5824/6883

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 71/980,5824/6883

Given numbers are 71/980,5824/6883

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 71,5824

Least Common Multiple of Numerators i.e. LCM of 71,5824 is 413504.

GCF of Denominators means GCF of 980,6883 as per the given fractions.

GCF of 980,6883 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,5824

LCM of Fractions 71/980,5824/6883 is 413504

Given numbers has no common factors except 1. So, there LCM is their product i.e 413504

Least Common Multiple of 71,5824 with GCF Formula

Least Common Multiple of 71,5824 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 71,5824 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,5824) = 1

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

GCF(71,5824) x common factors =1 x 1 = 1

LCM(71,5824) = ( 71 × 5824 ) / 1

LCM(71,5824) = 413504 / 1

LCM(71,5824) = 413504


Lets's calculate GCF of 980,6883

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 413504/1

Therefore the LCM of Fractions 71/980,5824/6883 is 413504

Greatest Common Factor of 980,6883 By Matching Biggest Common Factor Method

Greatest Common Factor of 980,6883 By Matching Biggest Common Factor Method

Factors of 980

List of positive integer factors of 980 that divides 980 without a remainder.

1,2,4,5,7,10,14,20,28,35,49,70,98,140,196,245,490,980

Factors of 6883

List of positive integer factors of 6883 that divides 6883 without a remainder.

1,6883

Greatest Common Factor

We found the factors 980,6883 . The biggest common factor number is the GCF number.
So the greatest common factor 980,6883 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 71/980, 5824/6883

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 71/980, 5824/6883?

Answer: LCM of Numerators as per given numbers 71/980, 5824/6883 is

LCM of Numerators i.e. for 71,5824 is 413504

GCF of denominators i.e. for 980,6883 is 1.

Thus, LCM of Fractions is 413504.Finally, LCM of Fractions for 71/980, 5824/6883 is 413504.