Least Common Multiple of 8189/756, 7172/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8189/756, 7172/855 quickly i.e. 58731508/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8189/756, 7172/855 is 58731508/9.

LCM(8189/756, 7172/855) = 58731508/9

LCM of 8189/756, 7172/855

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 8189/756,7172/855

Given numbers are 8189/756,7172/855

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 8189,7172

Least Common Multiple of Numerators i.e. LCM of 8189,7172 is 58731508.

GCF of Denominators means GCF of 756,855 as per the given fractions.

GCF of 756,855 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8189,7172

LCM of Fractions 8189/756,7172/855 is 58731508/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 58731508

Least Common Multiple of 8189,7172 with GCF Formula

Least Common Multiple of 8189,7172 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 8189,7172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8189,7172) = 1

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

GCF(8189,7172) x common factors =1 x 1 = 1

LCM(8189,7172) = ( 8189 × 7172 ) / 1

LCM(8189,7172) = 58731508 / 1

LCM(8189,7172) = 58731508


Lets's calculate GCF of 756,855

3 756, 855
3 252, 285
84, 95

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58731508/9

Therefore the LCM of Fractions 8189/756,7172/855 is 58731508/9

Greatest Common Factor of 756,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,855 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 756,855 . The biggest common factor number is the GCF number.
So the greatest common factor 756,855 is 9.


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 8189/756, 7172/855

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 8189/756, 7172/855?

Answer: LCM of Numerators as per given numbers 8189/756, 7172/855 is

LCM of Numerators i.e. for 8189,7172 is 58731508

GCF of denominators i.e. for 756,855 is 9.

Thus, LCM of Fractions is 58731508/9.Finally, LCM of Fractions for 8189/756, 7172/855 is 58731508/9.