Least Common Multiple of 112/795, 9257/9957

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 112/795, 9257/9957 quickly i.e. 1036784/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 112/795, 9257/9957 is 1036784/3.

LCM(112/795, 9257/9957) = 1036784/3

LCM of 112/795, 9257/9957

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 112/795,9257/9957

Given numbers are 112/795,9257/9957

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 112,9257

Least Common Multiple of Numerators i.e. LCM of 112,9257 is 1036784.

GCF of Denominators means GCF of 795,9957 as per the given fractions.

GCF of 795,9957 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 112,9257

LCM of Fractions 112/795,9257/9957 is 1036784/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 1036784

Least Common Multiple of 112,9257 with GCF Formula

Least Common Multiple of 112,9257 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 112,9257 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(112,9257) = 1

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

GCF(112,9257) x common factors =1 x 1 = 1

LCM(112,9257) = ( 112 × 9257 ) / 1

LCM(112,9257) = 1036784 / 1

LCM(112,9257) = 1036784


Lets's calculate GCF of 795,9957

3 795, 9957
265, 3319

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1036784/3

Therefore the LCM of Fractions 112/795,9257/9957 is 1036784/3

Greatest Common Factor of 795,9957 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,9957 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 9957

List of positive integer factors of 9957 that divides 9957 without a remainder.

1,3,3319,9957

Greatest Common Factor

We found the factors 795,9957 . The biggest common factor number is the GCF number.
So the greatest common factor 795,9957 is 3.


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 112/795, 9257/9957

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 112/795, 9257/9957?

Answer: LCM of Numerators as per given numbers 112/795, 9257/9957 is

LCM of Numerators i.e. for 112,9257 is 1036784

GCF of denominators i.e. for 795,9957 is 3.

Thus, LCM of Fractions is 1036784/3.Finally, LCM of Fractions for 112/795, 9257/9957 is 1036784/3.