Least Common Multiple of 6459/108, 9171/8720

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6459/108, 9171/8720 quickly i.e. 19745163/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6459/108, 9171/8720 is 19745163/4.

LCM(6459/108, 9171/8720) = 19745163/4

LCM of 6459/108, 9171/8720

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 6459/108,9171/8720

Given numbers are 6459/108,9171/8720

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 6459,9171

Least Common Multiple of Numerators i.e. LCM of 6459,9171 is 19745163.

GCF of Denominators means GCF of 108,8720 as per the given fractions.

GCF of 108,8720 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6459,9171

LCM of Fractions 6459/108,9171/8720 is 19745163/4

3 6459, 9171
2153, 3057

∴ So the LCM of the given numbers is 3 x 2153 x 3057 = 19745163

Least Common Multiple of 6459,9171 with GCF Formula

Least Common Multiple of 6459,9171 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 6459,9171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6459,9171) = 3

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

GCF(6459,9171) x common factors =3 x 1 = 3

LCM(6459,9171) = ( 6459 × 9171 ) / 3

LCM(6459,9171) = 59235489 / 3

LCM(6459,9171) = 19745163


Lets's calculate GCF of 108,8720

2 108, 8720
2 54, 4360
27, 2180

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19745163/4

Therefore the LCM of Fractions 6459/108,9171/8720 is 19745163/4

Greatest Common Factor of 108,8720 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,8720 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 8720

List of positive integer factors of 8720 that divides 8720 without a remainder.

1,2,4,5,8,10,16,20,40,80,109,218,436,545,872,1090,1744,2180,4360,8720

Greatest Common Factor

We found the factors 108,8720 . The biggest common factor number is the GCF number.
So the greatest common factor 108,8720 is 4.


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 6459/108, 9171/8720

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 6459/108, 9171/8720?

Answer: LCM of Numerators as per given numbers 6459/108, 9171/8720 is

LCM of Numerators i.e. for 6459,9171 is 19745163

GCF of denominators i.e. for 108,8720 is 4.

Thus, LCM of Fractions is 19745163/4.Finally, LCM of Fractions for 6459/108, 9171/8720 is 19745163/4.