Least Common Multiple of 131/45, 545/35, 481/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 131/45, 545/35, 481/860 quickly i.e. 6868199 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 131/45, 545/35, 481/860 is 6868199.

LCM(131/45, 545/35, 481/860) = 6868199

LCM of 131/45, 545/35, 481/860

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 131/45,545/35,481/860

Given numbers are 131/45,545/35,481/860

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 131,545,481

Least Common Multiple of Numerators i.e. LCM of 131,545,481 is 34340995.

GCF of Denominators means GCF of 45,35,860 as per the given fractions.

GCF of 45,35,860 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 131,545,481

LCM of Fractions 131/45,545/35,481/860 is 6868199

Given numbers has no common factors except 1. So, there LCM is their product i.e 34340995

Least Common Multiple of 131,545,481 with GCF Formula

Least Common Multiple of 131,545,481 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 131,545,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,545,481) = 1

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

GCF(131,545,481) x common factors =1 x 1 = 1

LCM(131,545,481) = ( 131 × 545 × 481 ) / 1

LCM(131,545,481) = 34340995 / 1

LCM(131,545,481) = 34340995


Lets's calculate GCF of 45,35,860

5 45, 35, 860
9, 7, 172

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34340995/5

Therefore the LCM of Fractions 131/45,545/35,481/860 is 6868199

Greatest Common Factor of 45,35,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,35,860 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 45,35,860 . The biggest common factor number is the GCF number.
So the greatest common factor 45,35,860 is 5.


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 131/45, 545/35, 481/860

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 131/45, 545/35, 481/860?

Answer: LCM of Numerators as per given numbers 131/45, 545/35, 481/860 is

LCM of Numerators i.e. for 131,545,481 is 34340995

GCF of denominators i.e. for 45,35,860 is 5.

Thus, LCM of Fractions is 6868199.Finally, LCM of Fractions for 131/45, 545/35, 481/860 is 6868199.