Least Common Multiple of 51/724, 887/241, 681/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/724, 887/241, 681/892 quickly i.e. 10268799 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/724, 887/241, 681/892 is 10268799.

LCM(51/724, 887/241, 681/892) = 10268799

LCM of 51/724, 887/241, 681/892

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 51/724,887/241,681/892

Given numbers are 51/724,887/241,681/892

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 51,887,681

Least Common Multiple of Numerators i.e. LCM of 51,887,681 is 10268799.

GCF of Denominators means GCF of 724,241,892 as per the given fractions.

GCF of 724,241,892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,887,681

LCM of Fractions 51/724,887/241,681/892 is 10268799

3 51, 887, 681
17, 887, 227

∴ So the LCM of the given numbers is 3 x 17 x 887 x 227 = 10268799

Least Common Multiple of 51,887,681 with GCF Formula

Least Common Multiple of 51,887,681 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 51,887,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,887,681) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(51,887,681) x common factors =1 x 3 = 3

LCM(51,887,681) = ( 51 × 887 × 681 ) / 3

LCM(51,887,681) = 30806397 / 3

LCM(51,887,681) = 10268799


Lets's calculate GCF of 724,241,892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10268799/1

Therefore the LCM of Fractions 51/724,887/241,681/892 is 10268799

Greatest Common Factor of 724,241,892 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,241,892 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 241

List of positive integer factors of 241 that divides 241 without a remainder.

1,241

Factors of 892

List of positive integer factors of 892 that divides 892 without a remainder.

1,2,4,223,446,892

Greatest Common Factor

We found the factors 724,241,892 . The biggest common factor number is the GCF number.
So the greatest common factor 724,241,892 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 51/724, 887/241, 681/892

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 51/724, 887/241, 681/892?

Answer: LCM of Numerators as per given numbers 51/724, 887/241, 681/892 is

LCM of Numerators i.e. for 51,887,681 is 10268799

GCF of denominators i.e. for 724,241,892 is 1.

Thus, LCM of Fractions is 10268799.Finally, LCM of Fractions for 51/724, 887/241, 681/892 is 10268799.