Least Common Multiple of 8577/28, 7389/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8577/28, 7389/916 quickly i.e. 7041717/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8577/28, 7389/916 is 7041717/4.

LCM(8577/28, 7389/916) = 7041717/4

LCM of 8577/28, 7389/916

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 8577/28,7389/916

Given numbers are 8577/28,7389/916

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 8577,7389

Least Common Multiple of Numerators i.e. LCM of 8577,7389 is 7041717.

GCF of Denominators means GCF of 28,916 as per the given fractions.

GCF of 28,916 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8577,7389

LCM of Fractions 8577/28,7389/916 is 7041717/4

3 8577, 7389
3 2859, 2463
953, 821

∴ So the LCM of the given numbers is 3 x 3 x 953 x 821 = 7041717

Least Common Multiple of 8577,7389 with GCF Formula

Least Common Multiple of 8577,7389 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 8577,7389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8577,7389) = 9

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

GCF(8577,7389) x common factors =9 x 1 = 9

LCM(8577,7389) = ( 8577 × 7389 ) / 9

LCM(8577,7389) = 63375453 / 9

LCM(8577,7389) = 7041717


Lets's calculate GCF of 28,916

2 28, 916
2 14, 458
7, 229

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7041717/4

Therefore the LCM of Fractions 8577/28,7389/916 is 7041717/4

Greatest Common Factor of 28,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,916 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 28,916 . The biggest common factor number is the GCF number.
So the greatest common factor 28,916 is 4.


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 8577/28, 7389/916

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 8577/28, 7389/916?

Answer: LCM of Numerators as per given numbers 8577/28, 7389/916 is

LCM of Numerators i.e. for 8577,7389 is 7041717

GCF of denominators i.e. for 28,916 is 4.

Thus, LCM of Fractions is 7041717/4.Finally, LCM of Fractions for 8577/28, 7389/916 is 7041717/4.