Least Common Multiple of 867/42, 744/9732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 867/42, 744/9732 quickly i.e. 35836 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 867/42, 744/9732 is 35836.

LCM(867/42, 744/9732) = 35836

LCM of 867/42, 744/9732

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 867/42,744/9732

Given numbers are 867/42,744/9732

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 867,744

Least Common Multiple of Numerators i.e. LCM of 867,744 is 215016.

GCF of Denominators means GCF of 42,9732 as per the given fractions.

GCF of 42,9732 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 867,744

LCM of Fractions 867/42,744/9732 is 35836

3 867, 744
289, 248

∴ So the LCM of the given numbers is 3 x 289 x 248 = 215016

Least Common Multiple of 867,744 with GCF Formula

Least Common Multiple of 867,744 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 867,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(867,744) = 3

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

GCF(867,744) x common factors =3 x 1 = 3

LCM(867,744) = ( 867 × 744 ) / 3

LCM(867,744) = 645048 / 3

LCM(867,744) = 215016


Lets's calculate GCF of 42,9732

2 42, 9732
3 21, 4866
7, 1622

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215016/6

Therefore the LCM of Fractions 867/42,744/9732 is 35836

Greatest Common Factor of 42,9732 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,9732 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 9732

List of positive integer factors of 9732 that divides 9732 without a remainder.

1,2,3,4,6,12,811,1622,2433,3244,4866,9732

Greatest Common Factor

We found the factors 42,9732 . The biggest common factor number is the GCF number.
So the greatest common factor 42,9732 is 6.


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 867/42, 744/9732

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 867/42, 744/9732?

Answer: LCM of Numerators as per given numbers 867/42, 744/9732 is

LCM of Numerators i.e. for 867,744 is 215016

GCF of denominators i.e. for 42,9732 is 6.

Thus, LCM of Fractions is 35836.Finally, LCM of Fractions for 867/42, 744/9732 is 35836.