Least Common Multiple of 5184/894, 7194/8881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 5184/894, 7194/8881 quickly i.e. 6215616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5184/894, 7194/8881 is 6215616.

LCM(5184/894, 7194/8881) = 6215616

LCM of 5184/894, 7194/8881

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 5184/894,7194/8881

Given numbers are 5184/894,7194/8881

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 5184,7194

Least Common Multiple of Numerators i.e. LCM of 5184,7194 is 6215616.

GCF of Denominators means GCF of 894,8881 as per the given fractions.

GCF of 894,8881 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5184,7194

LCM of Fractions 5184/894,7194/8881 is 6215616

2 5184, 7194
3 2592, 3597
864, 1199

∴ So the LCM of the given numbers is 2 x 3 x 864 x 1199 = 6215616

Least Common Multiple of 5184,7194 with GCF Formula

Least Common Multiple of 5184,7194 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 5184,7194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5184,7194) = 6

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

GCF(5184,7194) x common factors =6 x 1 = 6

LCM(5184,7194) = ( 5184 × 7194 ) / 6

LCM(5184,7194) = 37293696 / 6

LCM(5184,7194) = 6215616


Lets's calculate GCF of 894,8881

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6215616/1

Therefore the LCM of Fractions 5184/894,7194/8881 is 6215616

Greatest Common Factor of 894,8881 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,8881 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 8881

List of positive integer factors of 8881 that divides 8881 without a remainder.

1,83,107,8881

Greatest Common Factor

We found the factors 894,8881 . The biggest common factor number is the GCF number.
So the greatest common factor 894,8881 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 5184/894, 7194/8881

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 5184/894, 7194/8881?

Answer: LCM of Numerators as per given numbers 5184/894, 7194/8881 is

LCM of Numerators i.e. for 5184,7194 is 6215616

GCF of denominators i.e. for 894,8881 is 1.

Thus, LCM of Fractions is 6215616.Finally, LCM of Fractions for 5184/894, 7194/8881 is 6215616.