Least Common Multiple of 9198/468, 6788/8396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9198/468, 6788/8396 quickly i.e. 7804503 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9198/468, 6788/8396 is 7804503.

LCM(9198/468, 6788/8396) = 7804503

LCM of 9198/468, 6788/8396

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 9198/468,6788/8396

Given numbers are 9198/468,6788/8396

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 9198,6788

Least Common Multiple of Numerators i.e. LCM of 9198,6788 is 31218012.

GCF of Denominators means GCF of 468,8396 as per the given fractions.

GCF of 468,8396 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9198,6788

LCM of Fractions 9198/468,6788/8396 is 7804503

2 9198, 6788
4599, 3394

∴ So the LCM of the given numbers is 2 x 4599 x 3394 = 31218012

Least Common Multiple of 9198,6788 with GCF Formula

Least Common Multiple of 9198,6788 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 9198,6788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9198,6788) = 2

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

GCF(9198,6788) x common factors =2 x 1 = 2

LCM(9198,6788) = ( 9198 × 6788 ) / 2

LCM(9198,6788) = 62436024 / 2

LCM(9198,6788) = 31218012


Lets's calculate GCF of 468,8396

2 468, 8396
2 234, 4198
117, 2099

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31218012/4

Therefore the LCM of Fractions 9198/468,6788/8396 is 7804503

Greatest Common Factor of 468,8396 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,8396 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 8396

List of positive integer factors of 8396 that divides 8396 without a remainder.

1,2,4,2099,4198,8396

Greatest Common Factor

We found the factors 468,8396 . The biggest common factor number is the GCF number.
So the greatest common factor 468,8396 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 9198/468, 6788/8396

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 9198/468, 6788/8396?

Answer: LCM of Numerators as per given numbers 9198/468, 6788/8396 is

LCM of Numerators i.e. for 9198,6788 is 31218012

GCF of denominators i.e. for 468,8396 is 4.

Thus, LCM of Fractions is 7804503.Finally, LCM of Fractions for 9198/468, 6788/8396 is 7804503.