Least Common Multiple of 9736/11, 3683/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9736/11, 3683/286 quickly i.e. 35857688/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9736/11, 3683/286 is 35857688/11.

LCM(9736/11, 3683/286) = 35857688/11

LCM of 9736/11, 3683/286

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 9736/11,3683/286

Given numbers are 9736/11,3683/286

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 9736,3683

Least Common Multiple of Numerators i.e. LCM of 9736,3683 is 35857688.

GCF of Denominators means GCF of 11,286 as per the given fractions.

GCF of 11,286 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9736,3683

LCM of Fractions 9736/11,3683/286 is 35857688/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 35857688

Least Common Multiple of 9736,3683 with GCF Formula

Least Common Multiple of 9736,3683 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 9736,3683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9736,3683) = 1

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

GCF(9736,3683) x common factors =1 x 1 = 1

LCM(9736,3683) = ( 9736 × 3683 ) / 1

LCM(9736,3683) = 35857688 / 1

LCM(9736,3683) = 35857688


Lets's calculate GCF of 11,286

11 11, 286
1, 26

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35857688/11

Therefore the LCM of Fractions 9736/11,3683/286 is 35857688/11

Greatest Common Factor of 11,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,286 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 11,286 . The biggest common factor number is the GCF number.
So the greatest common factor 11,286 is 11.


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 9736/11, 3683/286

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 9736/11, 3683/286?

Answer: LCM of Numerators as per given numbers 9736/11, 3683/286 is

LCM of Numerators i.e. for 9736,3683 is 35857688

GCF of denominators i.e. for 11,286 is 11.

Thus, LCM of Fractions is 35857688/11.Finally, LCM of Fractions for 9736/11, 3683/286 is 35857688/11.