Least Common Multiple of 81/165, 20/962, 917/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/165, 20/962, 917/820 quickly i.e. 1485540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/165, 20/962, 917/820 is 1485540.

LCM(81/165, 20/962, 917/820) = 1485540

LCM of 81/165, 20/962, 917/820

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 81/165,20/962,917/820

Given numbers are 81/165,20/962,917/820

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 81,20,917

Least Common Multiple of Numerators i.e. LCM of 81,20,917 is 1485540.

GCF of Denominators means GCF of 165,962,820 as per the given fractions.

GCF of 165,962,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,20,917

LCM of Fractions 81/165,20/962,917/820 is 1485540

Given numbers has no common factors except 1. So, there LCM is their product i.e 1485540

Least Common Multiple of 81,20,917 with GCF Formula

Least Common Multiple of 81,20,917 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 81,20,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,20,917) = 1

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

GCF(81,20,917) x common factors =1 x 1 = 1

LCM(81,20,917) = ( 81 × 20 × 917 ) / 1

LCM(81,20,917) = 1485540 / 1

LCM(81,20,917) = 1485540


Lets's calculate GCF of 165,962,820

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1485540/1

Therefore the LCM of Fractions 81/165,20/962,917/820 is 1485540

Greatest Common Factor of 165,962,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,962,820 By Matching Biggest Common Factor Method

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 165,962,820 . The biggest common factor number is the GCF number.
So the greatest common factor 165,962,820 is 1.


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 81/165, 20/962, 917/820

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 81/165, 20/962, 917/820?

Answer: LCM of Numerators as per given numbers 81/165, 20/962, 917/820 is

LCM of Numerators i.e. for 81,20,917 is 1485540

GCF of denominators i.e. for 165,962,820 is 1.

Thus, LCM of Fractions is 1485540.Finally, LCM of Fractions for 81/165, 20/962, 917/820 is 1485540.