Least Common Multiple of 8577/855, 6877/8964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8577/855, 6877/8964 quickly i.e. 6553781 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8577/855, 6877/8964 is 6553781.

LCM(8577/855, 6877/8964) = 6553781

LCM of 8577/855, 6877/8964

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 8577/855,6877/8964

Given numbers are 8577/855,6877/8964

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 8577,6877

Least Common Multiple of Numerators i.e. LCM of 8577,6877 is 58984029.

GCF of Denominators means GCF of 855,8964 as per the given fractions.

GCF of 855,8964 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8577,6877

LCM of Fractions 8577/855,6877/8964 is 6553781

Given numbers has no common factors except 1. So, there LCM is their product i.e 58984029

Least Common Multiple of 8577,6877 with GCF Formula

Least Common Multiple of 8577,6877 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 8577,6877 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8577,6877) = 1

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

GCF(8577,6877) x common factors =1 x 1 = 1

LCM(8577,6877) = ( 8577 × 6877 ) / 1

LCM(8577,6877) = 58984029 / 1

LCM(8577,6877) = 58984029


Lets's calculate GCF of 855,8964

3 855, 8964
3 285, 2988
95, 996

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58984029/9

Therefore the LCM of Fractions 8577/855,6877/8964 is 6553781

Greatest Common Factor of 855,8964 By Matching Biggest Common Factor Method

Greatest Common Factor of 855,8964 By Matching Biggest Common Factor Method

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

Factors of 8964

List of positive integer factors of 8964 that divides 8964 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,83,108,166,249,332,498,747,996,1494,2241,2988,4482,8964

Greatest Common Factor

We found the factors 855,8964 . The biggest common factor number is the GCF number.
So the greatest common factor 855,8964 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 8577/855, 6877/8964

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 8577/855, 6877/8964?

Answer: LCM of Numerators as per given numbers 8577/855, 6877/8964 is

LCM of Numerators i.e. for 8577,6877 is 58984029

GCF of denominators i.e. for 855,8964 is 9.

Thus, LCM of Fractions is 6553781.Finally, LCM of Fractions for 8577/855, 6877/8964 is 6553781.