Least Common Multiple of 7893/894, 7061/7665

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7893/894, 7061/7665 quickly i.e. 18577491 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7893/894, 7061/7665 is 18577491.

LCM(7893/894, 7061/7665) = 18577491

LCM of 7893/894, 7061/7665

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 7893/894,7061/7665

Given numbers are 7893/894,7061/7665

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 7893,7061

Least Common Multiple of Numerators i.e. LCM of 7893,7061 is 55732473.

GCF of Denominators means GCF of 894,7665 as per the given fractions.

GCF of 894,7665 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7893,7061

LCM of Fractions 7893/894,7061/7665 is 18577491

Given numbers has no common factors except 1. So, there LCM is their product i.e 55732473

Least Common Multiple of 7893,7061 with GCF Formula

Least Common Multiple of 7893,7061 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 7893,7061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7893,7061) = 1

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

GCF(7893,7061) x common factors =1 x 1 = 1

LCM(7893,7061) = ( 7893 × 7061 ) / 1

LCM(7893,7061) = 55732473 / 1

LCM(7893,7061) = 55732473


Lets's calculate GCF of 894,7665

3 894, 7665
298, 2555

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55732473/3

Therefore the LCM of Fractions 7893/894,7061/7665 is 18577491

Greatest Common Factor of 894,7665 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,7665 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 7665

List of positive integer factors of 7665 that divides 7665 without a remainder.

1,3,5,7,15,21,35,73,105,219,365,511,1095,1533,2555,7665

Greatest Common Factor

We found the factors 894,7665 . The biggest common factor number is the GCF number.
So the greatest common factor 894,7665 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 7893/894, 7061/7665

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 7893/894, 7061/7665?

Answer: LCM of Numerators as per given numbers 7893/894, 7061/7665 is

LCM of Numerators i.e. for 7893,7061 is 55732473

GCF of denominators i.e. for 894,7665 is 3.

Thus, LCM of Fractions is 18577491.Finally, LCM of Fractions for 7893/894, 7061/7665 is 18577491.