Least Common Multiple of 8689/650, 3563/4786

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8689/650, 3563/4786 quickly i.e. 30958907/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8689/650, 3563/4786 is 30958907/2.

LCM(8689/650, 3563/4786) = 30958907/2

LCM of 8689/650, 3563/4786

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 8689/650,3563/4786

Given numbers are 8689/650,3563/4786

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 8689,3563

Least Common Multiple of Numerators i.e. LCM of 8689,3563 is 30958907.

GCF of Denominators means GCF of 650,4786 as per the given fractions.

GCF of 650,4786 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8689,3563

LCM of Fractions 8689/650,3563/4786 is 30958907/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 30958907

Least Common Multiple of 8689,3563 with GCF Formula

Least Common Multiple of 8689,3563 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 8689,3563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8689,3563) = 1

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

GCF(8689,3563) x common factors =1 x 1 = 1

LCM(8689,3563) = ( 8689 × 3563 ) / 1

LCM(8689,3563) = 30958907 / 1

LCM(8689,3563) = 30958907


Lets's calculate GCF of 650,4786

2 650, 4786
325, 2393

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30958907/2

Therefore the LCM of Fractions 8689/650,3563/4786 is 30958907/2

Greatest Common Factor of 650,4786 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,4786 By Matching Biggest Common Factor Method

Factors of 650

List of positive integer factors of 650 that divides 650 without a remainder.

1,2,5,10,13,25,26,50,65,130,325,650

Factors of 4786

List of positive integer factors of 4786 that divides 4786 without a remainder.

1,2,2393,4786

Greatest Common Factor

We found the factors 650,4786 . The biggest common factor number is the GCF number.
So the greatest common factor 650,4786 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 8689/650, 3563/4786

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 8689/650, 3563/4786?

Answer: LCM of Numerators as per given numbers 8689/650, 3563/4786 is

LCM of Numerators i.e. for 8689,3563 is 30958907

GCF of denominators i.e. for 650,4786 is 2.

Thus, LCM of Fractions is 30958907/2.Finally, LCM of Fractions for 8689/650, 3563/4786 is 30958907/2.