Least Common Multiple of 9998/404, 6524/6376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9998/404, 6524/6376 quickly i.e. 8153369 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9998/404, 6524/6376 is 8153369.

LCM(9998/404, 6524/6376) = 8153369

LCM of 9998/404, 6524/6376

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 9998/404,6524/6376

Given numbers are 9998/404,6524/6376

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 9998,6524

Least Common Multiple of Numerators i.e. LCM of 9998,6524 is 32613476.

GCF of Denominators means GCF of 404,6376 as per the given fractions.

GCF of 404,6376 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9998,6524

LCM of Fractions 9998/404,6524/6376 is 8153369

2 9998, 6524
4999, 3262

∴ So the LCM of the given numbers is 2 x 4999 x 3262 = 32613476

Least Common Multiple of 9998,6524 with GCF Formula

Least Common Multiple of 9998,6524 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 9998,6524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9998,6524) = 2

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

GCF(9998,6524) x common factors =2 x 1 = 2

LCM(9998,6524) = ( 9998 × 6524 ) / 2

LCM(9998,6524) = 65226952 / 2

LCM(9998,6524) = 32613476


Lets's calculate GCF of 404,6376

2 404, 6376
2 202, 3188
101, 1594

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32613476/4

Therefore the LCM of Fractions 9998/404,6524/6376 is 8153369

Greatest Common Factor of 404,6376 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,6376 By Matching Biggest Common Factor Method

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 6376

List of positive integer factors of 6376 that divides 6376 without a remainder.

1,2,4,8,797,1594,3188,6376

Greatest Common Factor

We found the factors 404,6376 . The biggest common factor number is the GCF number.
So the greatest common factor 404,6376 is 4.


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 9998/404, 6524/6376

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 9998/404, 6524/6376?

Answer: LCM of Numerators as per given numbers 9998/404, 6524/6376 is

LCM of Numerators i.e. for 9998,6524 is 32613476

GCF of denominators i.e. for 404,6376 is 4.

Thus, LCM of Fractions is 8153369.Finally, LCM of Fractions for 9998/404, 6524/6376 is 8153369.