Least Common Multiple of 8289/847, 4689/1121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8289/847, 4689/1121 quickly i.e. 4318569 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8289/847, 4689/1121 is 4318569.

LCM(8289/847, 4689/1121) = 4318569

LCM of 8289/847, 4689/1121

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 8289/847,4689/1121

Given numbers are 8289/847,4689/1121

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 8289,4689

Least Common Multiple of Numerators i.e. LCM of 8289,4689 is 4318569.

GCF of Denominators means GCF of 847,1121 as per the given fractions.

GCF of 847,1121 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8289,4689

LCM of Fractions 8289/847,4689/1121 is 4318569

3 8289, 4689
3 2763, 1563
921, 521

∴ So the LCM of the given numbers is 3 x 3 x 921 x 521 = 4318569

Least Common Multiple of 8289,4689 with GCF Formula

Least Common Multiple of 8289,4689 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 8289,4689 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8289,4689) = 9

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

GCF(8289,4689) x common factors =9 x 1 = 9

LCM(8289,4689) = ( 8289 × 4689 ) / 9

LCM(8289,4689) = 38867121 / 9

LCM(8289,4689) = 4318569


Lets's calculate GCF of 847,1121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4318569/1

Therefore the LCM of Fractions 8289/847,4689/1121 is 4318569

Greatest Common Factor of 847,1121 By Matching Biggest Common Factor Method

Greatest Common Factor of 847,1121 By Matching Biggest Common Factor Method

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Factors of 1121

List of positive integer factors of 1121 that divides 1121 without a remainder.

1,19,59,1121

Greatest Common Factor

We found the factors 847,1121 . The biggest common factor number is the GCF number.
So the greatest common factor 847,1121 is 1.


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 8289/847, 4689/1121

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 8289/847, 4689/1121?

Answer: LCM of Numerators as per given numbers 8289/847, 4689/1121 is

LCM of Numerators i.e. for 8289,4689 is 4318569

GCF of denominators i.e. for 847,1121 is 1.

Thus, LCM of Fractions is 4318569.Finally, LCM of Fractions for 8289/847, 4689/1121 is 4318569.