Least Common Multiple of 292/120, 732/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 292/120, 732/687 quickly i.e. 17812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 292/120, 732/687 is 17812.

LCM(292/120, 732/687) = 17812

LCM of 292/120, 732/687

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 292/120,732/687

Given numbers are 292/120,732/687

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 292,732

Least Common Multiple of Numerators i.e. LCM of 292,732 is 53436.

GCF of Denominators means GCF of 120,687 as per the given fractions.

GCF of 120,687 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 292,732

LCM of Fractions 292/120,732/687 is 17812

2 292, 732
2 146, 366
73, 183

∴ So the LCM of the given numbers is 2 x 2 x 73 x 183 = 53436

Least Common Multiple of 292,732 with GCF Formula

Least Common Multiple of 292,732 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 292,732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(292,732) = 4

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

GCF(292,732) x common factors =4 x 1 = 4

LCM(292,732) = ( 292 × 732 ) / 4

LCM(292,732) = 213744 / 4

LCM(292,732) = 53436


Lets's calculate GCF of 120,687

3 120, 687
40, 229

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53436/3

Therefore the LCM of Fractions 292/120,732/687 is 17812

Greatest Common Factor of 120,687 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,687 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Greatest Common Factor

We found the factors 120,687 . The biggest common factor number is the GCF number.
So the greatest common factor 120,687 is 3.


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 292/120, 732/687

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 292/120, 732/687?

Answer: LCM of Numerators as per given numbers 292/120, 732/687 is

LCM of Numerators i.e. for 292,732 is 53436

GCF of denominators i.e. for 120,687 is 3.

Thus, LCM of Fractions is 17812.Finally, LCM of Fractions for 292/120, 732/687 is 17812.