Least Common Multiple of 9196/900, 9286/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9196/900, 9286/981 quickly i.e. 42697028/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9196/900, 9286/981 is 42697028/9.

LCM(9196/900, 9286/981) = 42697028/9

LCM of 9196/900, 9286/981

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 9196/900,9286/981

Given numbers are 9196/900,9286/981

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 9196,9286

Least Common Multiple of Numerators i.e. LCM of 9196,9286 is 42697028.

GCF of Denominators means GCF of 900,981 as per the given fractions.

GCF of 900,981 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9196,9286

LCM of Fractions 9196/900,9286/981 is 42697028/9

2 9196, 9286
4598, 4643

∴ So the LCM of the given numbers is 2 x 4598 x 4643 = 42697028

Least Common Multiple of 9196,9286 with GCF Formula

Least Common Multiple of 9196,9286 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 9196,9286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9196,9286) = 2

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

GCF(9196,9286) x common factors =2 x 1 = 2

LCM(9196,9286) = ( 9196 × 9286 ) / 2

LCM(9196,9286) = 85394056 / 2

LCM(9196,9286) = 42697028


Lets's calculate GCF of 900,981

3 900, 981
3 300, 327
100, 109

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42697028/9

Therefore the LCM of Fractions 9196/900,9286/981 is 42697028/9

Greatest Common Factor of 900,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 900,981 By Matching Biggest Common Factor Method

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 900,981 . The biggest common factor number is the GCF number.
So the greatest common factor 900,981 is 9.


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 9196/900, 9286/981

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 9196/900, 9286/981?

Answer: LCM of Numerators as per given numbers 9196/900, 9286/981 is

LCM of Numerators i.e. for 9196,9286 is 42697028

GCF of denominators i.e. for 900,981 is 9.

Thus, LCM of Fractions is 42697028/9.Finally, LCM of Fractions for 9196/900, 9286/981 is 42697028/9.