Least Common Multiple of 8915/854, 8030/9676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8915/854, 8030/9676 quickly i.e. 7158745 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8915/854, 8030/9676 is 7158745.

LCM(8915/854, 8030/9676) = 7158745

LCM of 8915/854, 8030/9676

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 8915/854,8030/9676

Given numbers are 8915/854,8030/9676

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 8915,8030

Least Common Multiple of Numerators i.e. LCM of 8915,8030 is 14317490.

GCF of Denominators means GCF of 854,9676 as per the given fractions.

GCF of 854,9676 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8915,8030

LCM of Fractions 8915/854,8030/9676 is 7158745

5 8915, 8030
1783, 1606

∴ So the LCM of the given numbers is 5 x 1783 x 1606 = 14317490

Least Common Multiple of 8915,8030 with GCF Formula

Least Common Multiple of 8915,8030 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 8915,8030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8915,8030) = 5

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

GCF(8915,8030) x common factors =5 x 1 = 5

LCM(8915,8030) = ( 8915 × 8030 ) / 5

LCM(8915,8030) = 71587450 / 5

LCM(8915,8030) = 14317490


Lets's calculate GCF of 854,9676

2 854, 9676
427, 4838

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14317490/2

Therefore the LCM of Fractions 8915/854,8030/9676 is 7158745

Greatest Common Factor of 854,9676 By Matching Biggest Common Factor Method

Greatest Common Factor of 854,9676 By Matching Biggest Common Factor Method

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 9676

List of positive integer factors of 9676 that divides 9676 without a remainder.

1,2,4,41,59,82,118,164,236,2419,4838,9676

Greatest Common Factor

We found the factors 854,9676 . The biggest common factor number is the GCF number.
So the greatest common factor 854,9676 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 8915/854, 8030/9676

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 8915/854, 8030/9676?

Answer: LCM of Numerators as per given numbers 8915/854, 8030/9676 is

LCM of Numerators i.e. for 8915,8030 is 14317490

GCF of denominators i.e. for 854,9676 is 2.

Thus, LCM of Fractions is 7158745.Finally, LCM of Fractions for 8915/854, 8030/9676 is 7158745.