Least Common Multiple of 788/540, 318/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 788/540, 318/540 quickly i.e. 125292/540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 788/540, 318/540 is 125292/540.

LCM(788/540, 318/540) = 125292/540

LCM of 788/540, 318/540

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 788/540,318/540

Given numbers are 788/540,318/540

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 788,318

Least Common Multiple of Numerators i.e. LCM of 788,318 is 125292.

GCF of Denominators means GCF of 540,540 as per the given fractions.

GCF of 540,540 is 540 as it is the largest common factor for these numbers.

Lets's calculate LCM of 788,318

LCM of Fractions 788/540,318/540 is 125292/540

2 788, 318
394, 159

∴ So the LCM of the given numbers is 2 x 394 x 159 = 125292

Least Common Multiple of 788,318 with GCF Formula

Least Common Multiple of 788,318 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 788,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,318) = 2

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

GCF(788,318) x common factors =2 x 1 = 2

LCM(788,318) = ( 788 × 318 ) / 2

LCM(788,318) = 250584 / 2

LCM(788,318) = 125292


Lets's calculate GCF of 540,540

2 540, 540
2 270, 270
3 135, 135
3 45, 45
3 15, 15
5 5, 5
1, 1

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 = 540

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 125292/540

Therefore the LCM of Fractions 788/540,318/540 is 125292/540

Greatest Common Factor of 540,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 540,540 By Matching Biggest Common Factor Method

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 540,540 . The biggest common factor number is the GCF number.
So the greatest common factor 540,540 is 540.


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 788/540, 318/540

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 788/540, 318/540?

Answer: LCM of Numerators as per given numbers 788/540, 318/540 is

LCM of Numerators i.e. for 788,318 is 125292

GCF of denominators i.e. for 540,540 is 540.

Thus, LCM of Fractions is 125292/540.Finally, LCM of Fractions for 788/540, 318/540 is 125292/540.