Least Common Multiple of 9677/323, 3998/5308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9677/323, 3998/5308 quickly i.e. 38688646 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9677/323, 3998/5308 is 38688646.

LCM(9677/323, 3998/5308) = 38688646

LCM of 9677/323, 3998/5308

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 9677/323,3998/5308

Given numbers are 9677/323,3998/5308

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 9677,3998

Least Common Multiple of Numerators i.e. LCM of 9677,3998 is 38688646.

GCF of Denominators means GCF of 323,5308 as per the given fractions.

GCF of 323,5308 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9677,3998

LCM of Fractions 9677/323,3998/5308 is 38688646

Given numbers has no common factors except 1. So, there LCM is their product i.e 38688646

Least Common Multiple of 9677,3998 with GCF Formula

Least Common Multiple of 9677,3998 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 9677,3998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9677,3998) = 1

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

GCF(9677,3998) x common factors =1 x 1 = 1

LCM(9677,3998) = ( 9677 × 3998 ) / 1

LCM(9677,3998) = 38688646 / 1

LCM(9677,3998) = 38688646


Lets's calculate GCF of 323,5308

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38688646/1

Therefore the LCM of Fractions 9677/323,3998/5308 is 38688646

Greatest Common Factor of 323,5308 By Matching Biggest Common Factor Method

Greatest Common Factor of 323,5308 By Matching Biggest Common Factor Method

Factors of 323

List of positive integer factors of 323 that divides 323 without a remainder.

1,17,19,323

Factors of 5308

List of positive integer factors of 5308 that divides 5308 without a remainder.

1,2,4,1327,2654,5308

Greatest Common Factor

We found the factors 323,5308 . The biggest common factor number is the GCF number.
So the greatest common factor 323,5308 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 9677/323, 3998/5308

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 9677/323, 3998/5308?

Answer: LCM of Numerators as per given numbers 9677/323, 3998/5308 is

LCM of Numerators i.e. for 9677,3998 is 38688646

GCF of denominators i.e. for 323,5308 is 1.

Thus, LCM of Fractions is 38688646.Finally, LCM of Fractions for 9677/323, 3998/5308 is 38688646.