Least Common Multiple of 4311/404, 2291/8254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4311/404, 2291/8254 quickly i.e. 9876501/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4311/404, 2291/8254 is 9876501/2.

LCM(4311/404, 2291/8254) = 9876501/2

LCM of 4311/404, 2291/8254

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 4311/404,2291/8254

Given numbers are 4311/404,2291/8254

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 4311,2291

Least Common Multiple of Numerators i.e. LCM of 4311,2291 is 9876501.

GCF of Denominators means GCF of 404,8254 as per the given fractions.

GCF of 404,8254 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4311,2291

LCM of Fractions 4311/404,2291/8254 is 9876501/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 9876501

Least Common Multiple of 4311,2291 with GCF Formula

Least Common Multiple of 4311,2291 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 4311,2291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4311,2291) = 1

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

GCF(4311,2291) x common factors =1 x 1 = 1

LCM(4311,2291) = ( 4311 × 2291 ) / 1

LCM(4311,2291) = 9876501 / 1

LCM(4311,2291) = 9876501


Lets's calculate GCF of 404,8254

2 404, 8254
202, 4127

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9876501/2

Therefore the LCM of Fractions 4311/404,2291/8254 is 9876501/2

Greatest Common Factor of 404,8254 By Matching Biggest Common Factor Method

Greatest Common Factor of 404,8254 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 8254

List of positive integer factors of 8254 that divides 8254 without a remainder.

1,2,4127,8254

Greatest Common Factor

We found the factors 404,8254 . The biggest common factor number is the GCF number.
So the greatest common factor 404,8254 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 4311/404, 2291/8254

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 4311/404, 2291/8254?

Answer: LCM of Numerators as per given numbers 4311/404, 2291/8254 is

LCM of Numerators i.e. for 4311,2291 is 9876501

GCF of denominators i.e. for 404,8254 is 2.

Thus, LCM of Fractions is 9876501/2.Finally, LCM of Fractions for 4311/404, 2291/8254 is 9876501/2.