Least Common Multiple of 8744/352, 8585/9289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8744/352, 8585/9289 quickly i.e. 75067240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8744/352, 8585/9289 is 75067240.

LCM(8744/352, 8585/9289) = 75067240

LCM of 8744/352, 8585/9289

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 8744/352,8585/9289

Given numbers are 8744/352,8585/9289

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 8744,8585

Least Common Multiple of Numerators i.e. LCM of 8744,8585 is 75067240.

GCF of Denominators means GCF of 352,9289 as per the given fractions.

GCF of 352,9289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8744,8585

LCM of Fractions 8744/352,8585/9289 is 75067240

Given numbers has no common factors except 1. So, there LCM is their product i.e 75067240

Least Common Multiple of 8744,8585 with GCF Formula

Least Common Multiple of 8744,8585 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 8744,8585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8744,8585) = 1

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

GCF(8744,8585) x common factors =1 x 1 = 1

LCM(8744,8585) = ( 8744 × 8585 ) / 1

LCM(8744,8585) = 75067240 / 1

LCM(8744,8585) = 75067240


Lets's calculate GCF of 352,9289

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75067240/1

Therefore the LCM of Fractions 8744/352,8585/9289 is 75067240

Greatest Common Factor of 352,9289 By Matching Biggest Common Factor Method

Greatest Common Factor of 352,9289 By Matching Biggest Common Factor Method

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Factors of 9289

List of positive integer factors of 9289 that divides 9289 without a remainder.

1,7,1327,9289

Greatest Common Factor

We found the factors 352,9289 . The biggest common factor number is the GCF number.
So the greatest common factor 352,9289 is 1.


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 8744/352, 8585/9289

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 8744/352, 8585/9289?

Answer: LCM of Numerators as per given numbers 8744/352, 8585/9289 is

LCM of Numerators i.e. for 8744,8585 is 75067240

GCF of denominators i.e. for 352,9289 is 1.

Thus, LCM of Fractions is 75067240.Finally, LCM of Fractions for 8744/352, 8585/9289 is 75067240.