Least Common Multiple of 1271/916, 9942/2231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 1271/916, 9942/2231 quickly i.e. 12636282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1271/916, 9942/2231 is 12636282.

LCM(1271/916, 9942/2231) = 12636282

LCM of 1271/916, 9942/2231

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 1271/916,9942/2231

Given numbers are 1271/916,9942/2231

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 1271,9942

Least Common Multiple of Numerators i.e. LCM of 1271,9942 is 12636282.

GCF of Denominators means GCF of 916,2231 as per the given fractions.

GCF of 916,2231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1271,9942

LCM of Fractions 1271/916,9942/2231 is 12636282

Given numbers has no common factors except 1. So, there LCM is their product i.e 12636282

Least Common Multiple of 1271,9942 with GCF Formula

Least Common Multiple of 1271,9942 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 1271,9942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1271,9942) = 1

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

GCF(1271,9942) x common factors =1 x 1 = 1

LCM(1271,9942) = ( 1271 × 9942 ) / 1

LCM(1271,9942) = 12636282 / 1

LCM(1271,9942) = 12636282


Lets's calculate GCF of 916,2231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12636282/1

Therefore the LCM of Fractions 1271/916,9942/2231 is 12636282

Greatest Common Factor of 916,2231 By Matching Biggest Common Factor Method

Greatest Common Factor of 916,2231 By Matching Biggest Common Factor Method

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Factors of 2231

List of positive integer factors of 2231 that divides 2231 without a remainder.

1,23,97,2231

Greatest Common Factor

We found the factors 916,2231 . The biggest common factor number is the GCF number.
So the greatest common factor 916,2231 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 1271/916, 9942/2231

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 1271/916, 9942/2231?

Answer: LCM of Numerators as per given numbers 1271/916, 9942/2231 is

LCM of Numerators i.e. for 1271,9942 is 12636282

GCF of denominators i.e. for 916,2231 is 1.

Thus, LCM of Fractions is 12636282.Finally, LCM of Fractions for 1271/916, 9942/2231 is 12636282.