Least Common Multiple of 8160/807, 4971/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8160/807, 4971/268 quickly i.e. 13521120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8160/807, 4971/268 is 13521120.

LCM(8160/807, 4971/268) = 13521120

LCM of 8160/807, 4971/268

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 8160/807,4971/268

Given numbers are 8160/807,4971/268

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 8160,4971

Least Common Multiple of Numerators i.e. LCM of 8160,4971 is 13521120.

GCF of Denominators means GCF of 807,268 as per the given fractions.

GCF of 807,268 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8160,4971

LCM of Fractions 8160/807,4971/268 is 13521120

3 8160, 4971
2720, 1657

∴ So the LCM of the given numbers is 3 x 2720 x 1657 = 13521120

Least Common Multiple of 8160,4971 with GCF Formula

Least Common Multiple of 8160,4971 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 8160,4971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8160,4971) = 3

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

GCF(8160,4971) x common factors =3 x 1 = 3

LCM(8160,4971) = ( 8160 × 4971 ) / 3

LCM(8160,4971) = 40563360 / 3

LCM(8160,4971) = 13521120


Lets's calculate GCF of 807,268

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13521120/1

Therefore the LCM of Fractions 8160/807,4971/268 is 13521120

Greatest Common Factor of 807,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,268 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 807,268 . The biggest common factor number is the GCF number.
So the greatest common factor 807,268 is 1.


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 8160/807, 4971/268

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 8160/807, 4971/268?

Answer: LCM of Numerators as per given numbers 8160/807, 4971/268 is

LCM of Numerators i.e. for 8160,4971 is 13521120

GCF of denominators i.e. for 807,268 is 1.

Thus, LCM of Fractions is 13521120.Finally, LCM of Fractions for 8160/807, 4971/268 is 13521120.