Least Common Multiple of 894/969, 8299/7815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 894/969, 8299/7815 quickly i.e. 2473102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 894/969, 8299/7815 is 2473102.

LCM(894/969, 8299/7815) = 2473102

LCM of 894/969, 8299/7815

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 894/969,8299/7815

Given numbers are 894/969,8299/7815

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 894,8299

Least Common Multiple of Numerators i.e. LCM of 894,8299 is 7419306.

GCF of Denominators means GCF of 969,7815 as per the given fractions.

GCF of 969,7815 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 894,8299

LCM of Fractions 894/969,8299/7815 is 2473102

Given numbers has no common factors except 1. So, there LCM is their product i.e 7419306

Least Common Multiple of 894,8299 with GCF Formula

Least Common Multiple of 894,8299 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 894,8299 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,8299) = 1

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

GCF(894,8299) x common factors =1 x 1 = 1

LCM(894,8299) = ( 894 × 8299 ) / 1

LCM(894,8299) = 7419306 / 1

LCM(894,8299) = 7419306


Lets's calculate GCF of 969,7815

3 969, 7815
323, 2605

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7419306/3

Therefore the LCM of Fractions 894/969,8299/7815 is 2473102

Greatest Common Factor of 969,7815 By Matching Biggest Common Factor Method

Greatest Common Factor of 969,7815 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 7815

List of positive integer factors of 7815 that divides 7815 without a remainder.

1,3,5,15,521,1563,2605,7815

Greatest Common Factor

We found the factors 969,7815 . The biggest common factor number is the GCF number.
So the greatest common factor 969,7815 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 894/969, 8299/7815

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 894/969, 8299/7815?

Answer: LCM of Numerators as per given numbers 894/969, 8299/7815 is

LCM of Numerators i.e. for 894,8299 is 7419306

GCF of denominators i.e. for 969,7815 is 3.

Thus, LCM of Fractions is 2473102.Finally, LCM of Fractions for 894/969, 8299/7815 is 2473102.