Least Common Multiple of 867/472, 6681/9893

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 867/472, 6681/9893 quickly i.e. 113577 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/472, 6681/9893 is 113577.

LCM(867/472, 6681/9893) = 113577

LCM of 867/472, 6681/9893

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 867/472,6681/9893

Given numbers are 867/472,6681/9893

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 867,6681

Least Common Multiple of Numerators i.e. LCM of 867,6681 is 113577.

GCF of Denominators means GCF of 472,9893 as per the given fractions.

GCF of 472,9893 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,6681

LCM of Fractions 867/472,6681/9893 is 113577

3 867, 6681
17 289, 2227
17, 131

∴ So the LCM of the given numbers is 3 x 17 x 17 x 131 = 113577

Least Common Multiple of 867,6681 with GCF Formula

Least Common Multiple of 867,6681 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 867,6681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,6681) = 51

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

GCF(867,6681) x common factors =51 x 1 = 51

LCM(867,6681) = ( 867 × 6681 ) / 51

LCM(867,6681) = 5792427 / 51

LCM(867,6681) = 113577


Lets's calculate GCF of 472,9893

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113577/1

Therefore the LCM of Fractions 867/472,6681/9893 is 113577

Greatest Common Factor of 472,9893 By Matching Biggest Common Factor Method

Greatest Common Factor of 472,9893 By Matching Biggest Common Factor Method

Factors of 472

List of positive integer factors of 472 that divides 472 without a remainder.

1,2,4,8,59,118,236,472

Factors of 9893

List of positive integer factors of 9893 that divides 9893 without a remainder.

1,13,761,9893

Greatest Common Factor

We found the factors 472,9893 . The biggest common factor number is the GCF number.
So the greatest common factor 472,9893 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 867/472, 6681/9893

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 867/472, 6681/9893?

Answer: LCM of Numerators as per given numbers 867/472, 6681/9893 is

LCM of Numerators i.e. for 867,6681 is 113577

GCF of denominators i.e. for 472,9893 is 1.

Thus, LCM of Fractions is 113577.Finally, LCM of Fractions for 867/472, 6681/9893 is 113577.