Least Common Multiple of 8538/969, 7415/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8538/969, 7415/825 quickly i.e. 21103090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8538/969, 7415/825 is 21103090.

LCM(8538/969, 7415/825) = 21103090

LCM of 8538/969, 7415/825

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 8538/969,7415/825

Given numbers are 8538/969,7415/825

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 8538,7415

Least Common Multiple of Numerators i.e. LCM of 8538,7415 is 63309270.

GCF of Denominators means GCF of 969,825 as per the given fractions.

GCF of 969,825 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8538,7415

LCM of Fractions 8538/969,7415/825 is 21103090

Given numbers has no common factors except 1. So, there LCM is their product i.e 63309270

Least Common Multiple of 8538,7415 with GCF Formula

Least Common Multiple of 8538,7415 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 8538,7415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8538,7415) = 1

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

GCF(8538,7415) x common factors =1 x 1 = 1

LCM(8538,7415) = ( 8538 × 7415 ) / 1

LCM(8538,7415) = 63309270 / 1

LCM(8538,7415) = 63309270


Lets's calculate GCF of 969,825

3 969, 825
323, 275

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 63309270/3

Therefore the LCM of Fractions 8538/969,7415/825 is 21103090

Greatest Common Factor of 969,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,825 By Matching Biggest Common Factor Method

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 969,825 . The biggest common factor number is the GCF number.
So the greatest common factor 969,825 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 8538/969, 7415/825

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 8538/969, 7415/825?

Answer: LCM of Numerators as per given numbers 8538/969, 7415/825 is

LCM of Numerators i.e. for 8538,7415 is 63309270

GCF of denominators i.e. for 969,825 is 3.

Thus, LCM of Fractions is 21103090.Finally, LCM of Fractions for 8538/969, 7415/825 is 21103090.