Least Common Multiple of 9768/186, 8825/7089

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9768/186, 8825/7089 quickly i.e. 28734200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9768/186, 8825/7089 is 28734200.

LCM(9768/186, 8825/7089) = 28734200

LCM of 9768/186, 8825/7089

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 9768/186,8825/7089

Given numbers are 9768/186,8825/7089

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 9768,8825

Least Common Multiple of Numerators i.e. LCM of 9768,8825 is 86202600.

GCF of Denominators means GCF of 186,7089 as per the given fractions.

GCF of 186,7089 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9768,8825

LCM of Fractions 9768/186,8825/7089 is 28734200

Given numbers has no common factors except 1. So, there LCM is their product i.e 86202600

Least Common Multiple of 9768,8825 with GCF Formula

Least Common Multiple of 9768,8825 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 9768,8825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9768,8825) = 1

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

GCF(9768,8825) x common factors =1 x 1 = 1

LCM(9768,8825) = ( 9768 × 8825 ) / 1

LCM(9768,8825) = 86202600 / 1

LCM(9768,8825) = 86202600


Lets's calculate GCF of 186,7089

3 186, 7089
62, 2363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86202600/3

Therefore the LCM of Fractions 9768/186,8825/7089 is 28734200

Greatest Common Factor of 186,7089 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,7089 By Matching Biggest Common Factor Method

Factors of 186

List of positive integer factors of 186 that divides 186 without a remainder.

1,2,3,6,31,62,93,186

Factors of 7089

List of positive integer factors of 7089 that divides 7089 without a remainder.

1,3,17,51,139,417,2363,7089

Greatest Common Factor

We found the factors 186,7089 . The biggest common factor number is the GCF number.
So the greatest common factor 186,7089 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 9768/186, 8825/7089

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 9768/186, 8825/7089?

Answer: LCM of Numerators as per given numbers 9768/186, 8825/7089 is

LCM of Numerators i.e. for 9768,8825 is 86202600

GCF of denominators i.e. for 186,7089 is 3.

Thus, LCM of Fractions is 28734200.Finally, LCM of Fractions for 9768/186, 8825/7089 is 28734200.