Least Common Multiple of 8181/961, 3737/9982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8181/961, 3737/9982 quickly i.e. 302697/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8181/961, 3737/9982 is 302697/31.

LCM(8181/961, 3737/9982) = 302697/31

LCM of 8181/961, 3737/9982

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 8181/961,3737/9982

Given numbers are 8181/961,3737/9982

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 8181,3737

Least Common Multiple of Numerators i.e. LCM of 8181,3737 is 302697.

GCF of Denominators means GCF of 961,9982 as per the given fractions.

GCF of 961,9982 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8181,3737

LCM of Fractions 8181/961,3737/9982 is 302697/31

101 8181, 3737
81, 37

∴ So the LCM of the given numbers is 101 x 81 x 37 = 302697

Least Common Multiple of 8181,3737 with GCF Formula

Least Common Multiple of 8181,3737 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 8181,3737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8181,3737) = 101

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

GCF(8181,3737) x common factors =101 x 1 = 101

LCM(8181,3737) = ( 8181 × 3737 ) / 101

LCM(8181,3737) = 30572397 / 101

LCM(8181,3737) = 302697


Lets's calculate GCF of 961,9982

31 961, 9982
31, 322

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 302697/31

Therefore the LCM of Fractions 8181/961,3737/9982 is 302697/31

Greatest Common Factor of 961,9982 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,9982 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 9982

List of positive integer factors of 9982 that divides 9982 without a remainder.

1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982

Greatest Common Factor

We found the factors 961,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 961,9982 is 31.


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 8181/961, 3737/9982

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 8181/961, 3737/9982?

Answer: LCM of Numerators as per given numbers 8181/961, 3737/9982 is

LCM of Numerators i.e. for 8181,3737 is 302697

GCF of denominators i.e. for 961,9982 is 31.

Thus, LCM of Fractions is 302697/31.Finally, LCM of Fractions for 8181/961, 3737/9982 is 302697/31.