Least Common Multiple of 8289/758, 5832/5542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8289/758, 5832/5542 quickly i.e. 895212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8289/758, 5832/5542 is 895212.

LCM(8289/758, 5832/5542) = 895212

LCM of 8289/758, 5832/5542

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 8289/758,5832/5542

Given numbers are 8289/758,5832/5542

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 8289,5832

Least Common Multiple of Numerators i.e. LCM of 8289,5832 is 1790424.

GCF of Denominators means GCF of 758,5542 as per the given fractions.

GCF of 758,5542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8289,5832

LCM of Fractions 8289/758,5832/5542 is 895212

3 8289, 5832
3 2763, 1944
3 921, 648
307, 216

∴ So the LCM of the given numbers is 3 x 3 x 3 x 307 x 216 = 1790424

Least Common Multiple of 8289,5832 with GCF Formula

Least Common Multiple of 8289,5832 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 8289,5832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8289,5832) = 27

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

GCF(8289,5832) x common factors =27 x 1 = 27

LCM(8289,5832) = ( 8289 × 5832 ) / 27

LCM(8289,5832) = 48341448 / 27

LCM(8289,5832) = 1790424


Lets's calculate GCF of 758,5542

2 758, 5542
379, 2771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1790424/2

Therefore the LCM of Fractions 8289/758,5832/5542 is 895212

Greatest Common Factor of 758,5542 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,5542 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 5542

List of positive integer factors of 5542 that divides 5542 without a remainder.

1,2,17,34,163,326,2771,5542

Greatest Common Factor

We found the factors 758,5542 . The biggest common factor number is the GCF number.
So the greatest common factor 758,5542 is 2.


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 8289/758, 5832/5542

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 8289/758, 5832/5542?

Answer: LCM of Numerators as per given numbers 8289/758, 5832/5542 is

LCM of Numerators i.e. for 8289,5832 is 1790424

GCF of denominators i.e. for 758,5542 is 2.

Thus, LCM of Fractions is 895212.Finally, LCM of Fractions for 8289/758, 5832/5542 is 895212.