Least Common Multiple of 729/424, 867/760

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/424, 867/760 quickly i.e. 210681/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/424, 867/760 is 210681/8.

LCM(729/424, 867/760) = 210681/8

LCM of 729/424, 867/760

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 729/424,867/760

Given numbers are 729/424,867/760

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 729,867

Least Common Multiple of Numerators i.e. LCM of 729,867 is 210681.

GCF of Denominators means GCF of 424,760 as per the given fractions.

GCF of 424,760 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,867

LCM of Fractions 729/424,867/760 is 210681/8

3 729, 867
243, 289

∴ So the LCM of the given numbers is 3 x 243 x 289 = 210681

Least Common Multiple of 729,867 with GCF Formula

Least Common Multiple of 729,867 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 729,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,867) = 3

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

GCF(729,867) x common factors =3 x 1 = 3

LCM(729,867) = ( 729 × 867 ) / 3

LCM(729,867) = 632043 / 3

LCM(729,867) = 210681


Lets's calculate GCF of 424,760

2 424, 760
2 212, 380
2 106, 190
53, 95

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210681/8

Therefore the LCM of Fractions 729/424,867/760 is 210681/8

Greatest Common Factor of 424,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,760 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 424,760 . The biggest common factor number is the GCF number.
So the greatest common factor 424,760 is 8.


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 729/424, 867/760

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 729/424, 867/760?

Answer: LCM of Numerators as per given numbers 729/424, 867/760 is

LCM of Numerators i.e. for 729,867 is 210681

GCF of denominators i.e. for 424,760 is 8.

Thus, LCM of Fractions is 210681/8.Finally, LCM of Fractions for 729/424, 867/760 is 210681/8.