Least Common Multiple of 8306/650, 5738/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8306/650, 5738/489 quickly i.e. 23829914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8306/650, 5738/489 is 23829914.

LCM(8306/650, 5738/489) = 23829914

LCM of 8306/650, 5738/489

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 8306/650,5738/489

Given numbers are 8306/650,5738/489

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 8306,5738

Least Common Multiple of Numerators i.e. LCM of 8306,5738 is 23829914.

GCF of Denominators means GCF of 650,489 as per the given fractions.

GCF of 650,489 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8306,5738

LCM of Fractions 8306/650,5738/489 is 23829914

2 8306, 5738
4153, 2869

∴ So the LCM of the given numbers is 2 x 4153 x 2869 = 23829914

Least Common Multiple of 8306,5738 with GCF Formula

Least Common Multiple of 8306,5738 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 8306,5738 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8306,5738) = 2

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

GCF(8306,5738) x common factors =2 x 1 = 2

LCM(8306,5738) = ( 8306 × 5738 ) / 2

LCM(8306,5738) = 47659828 / 2

LCM(8306,5738) = 23829914


Lets's calculate GCF of 650,489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23829914/1

Therefore the LCM of Fractions 8306/650,5738/489 is 23829914

Greatest Common Factor of 650,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 650,489 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 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 650,489 . The biggest common factor number is the GCF number.
So the greatest common factor 650,489 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 8306/650, 5738/489

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 8306/650, 5738/489?

Answer: LCM of Numerators as per given numbers 8306/650, 5738/489 is

LCM of Numerators i.e. for 8306,5738 is 23829914

GCF of denominators i.e. for 650,489 is 1.

Thus, LCM of Fractions is 23829914.Finally, LCM of Fractions for 8306/650, 5738/489 is 23829914.