Least Common Multiple of 81/807, 77/216, 961/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/807, 77/216, 961/198 quickly i.e. 1997919 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/807, 77/216, 961/198 is 1997919.

LCM(81/807, 77/216, 961/198) = 1997919

LCM of 81/807, 77/216, 961/198

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 81/807,77/216,961/198

Given numbers are 81/807,77/216,961/198

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 81,77,961

Least Common Multiple of Numerators i.e. LCM of 81,77,961 is 5993757.

GCF of Denominators means GCF of 807,216,198 as per the given fractions.

GCF of 807,216,198 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,77,961

LCM of Fractions 81/807,77/216,961/198 is 1997919

Given numbers has no common factors except 1. So, there LCM is their product i.e 5993757

Least Common Multiple of 81,77,961 with GCF Formula

Least Common Multiple of 81,77,961 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 81,77,961 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,77,961) = 1

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

GCF(81,77,961) x common factors =1 x 1 = 1

LCM(81,77,961) = ( 81 × 77 × 961 ) / 1

LCM(81,77,961) = 5993757 / 1

LCM(81,77,961) = 5993757


Lets's calculate GCF of 807,216,198

3 807, 216, 198
269, 72, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5993757/3

Therefore the LCM of Fractions 81/807,77/216,961/198 is 1997919

Greatest Common Factor of 807,216,198 By Matching Biggest Common Factor Method

Greatest Common Factor of 807,216,198 By Matching Biggest Common Factor Method

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 198

List of positive integer factors of 198 that divides 198 without a remainder.

1,2,3,6,9,11,18,22,33,66,99,198

Greatest Common Factor

We found the factors 807,216,198 . The biggest common factor number is the GCF number.
So the greatest common factor 807,216,198 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 81/807, 77/216, 961/198

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 81/807, 77/216, 961/198?

Answer: LCM of Numerators as per given numbers 81/807, 77/216, 961/198 is

LCM of Numerators i.e. for 81,77,961 is 5993757

GCF of denominators i.e. for 807,216,198 is 3.

Thus, LCM of Fractions is 1997919.Finally, LCM of Fractions for 81/807, 77/216, 961/198 is 1997919.