Least Common Multiple of 8744/715, 3627/9100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8744/715, 3627/9100 quickly i.e. 31714488/65 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8744/715, 3627/9100 is 31714488/65.

LCM(8744/715, 3627/9100) = 31714488/65

LCM of 8744/715, 3627/9100

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 8744/715,3627/9100

Given numbers are 8744/715,3627/9100

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 8744,3627

Least Common Multiple of Numerators i.e. LCM of 8744,3627 is 31714488.

GCF of Denominators means GCF of 715,9100 as per the given fractions.

GCF of 715,9100 is 65 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8744,3627

LCM of Fractions 8744/715,3627/9100 is 31714488/65

Given numbers has no common factors except 1. So, there LCM is their product i.e 31714488

Least Common Multiple of 8744,3627 with GCF Formula

Least Common Multiple of 8744,3627 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 8744,3627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8744,3627) = 1

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

GCF(8744,3627) x common factors =1 x 1 = 1

LCM(8744,3627) = ( 8744 × 3627 ) / 1

LCM(8744,3627) = 31714488 / 1

LCM(8744,3627) = 31714488


Lets's calculate GCF of 715,9100

5 715, 9100
13 143, 1820
11, 140

∴ So the GCF of the given numbers is 5 x 13 = 65

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31714488/65

Therefore the LCM of Fractions 8744/715,3627/9100 is 31714488/65

Greatest Common Factor of 715,9100 By Matching Biggest Common Factor Method

Greatest Common Factor of 715,9100 By Matching Biggest Common Factor Method

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Factors of 9100

List of positive integer factors of 9100 that divides 9100 without a remainder.

1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100

Greatest Common Factor

We found the factors 715,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 715,9100 is 65.


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 8744/715, 3627/9100

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 8744/715, 3627/9100?

Answer: LCM of Numerators as per given numbers 8744/715, 3627/9100 is

LCM of Numerators i.e. for 8744,3627 is 31714488

GCF of denominators i.e. for 715,9100 is 65.

Thus, LCM of Fractions is 31714488/65.Finally, LCM of Fractions for 8744/715, 3627/9100 is 31714488/65.