Least Common Multiple of 81/722, 435/961, 860/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/722, 435/961, 860/132 quickly i.e. 2020140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/722, 435/961, 860/132 is 2020140.

LCM(81/722, 435/961, 860/132) = 2020140

LCM of 81/722, 435/961, 860/132

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 81/722,435/961,860/132

Given numbers are 81/722,435/961,860/132

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 81,435,860

Least Common Multiple of Numerators i.e. LCM of 81,435,860 is 2020140.

GCF of Denominators means GCF of 722,961,132 as per the given fractions.

GCF of 722,961,132 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,435,860

LCM of Fractions 81/722,435/961,860/132 is 2020140

3 81, 435, 860
5 27, 145, 860
27, 29, 172

∴ So the LCM of the given numbers is 3 x 5 x 27 x 29 x 172 = 2020140

Least Common Multiple of 81,435,860 with GCF Formula

Least Common Multiple of 81,435,860 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 81,435,860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,435,860) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(81,435,860) x common factors =1 x 15 = 15

LCM(81,435,860) = ( 81 × 435 × 860 ) / 15

LCM(81,435,860) = 30302100 / 15

LCM(81,435,860) = 2020140


Lets's calculate GCF of 722,961,132

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2020140/1

Therefore the LCM of Fractions 81/722,435/961,860/132 is 2020140

Greatest Common Factor of 722,961,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,961,132 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 961

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

1,31,961

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 722,961,132 . The biggest common factor number is the GCF number.
So the greatest common factor 722,961,132 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 81/722, 435/961, 860/132

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 81/722, 435/961, 860/132?

Answer: LCM of Numerators as per given numbers 81/722, 435/961, 860/132 is

LCM of Numerators i.e. for 81,435,860 is 2020140

GCF of denominators i.e. for 722,961,132 is 1.

Thus, LCM of Fractions is 2020140.Finally, LCM of Fractions for 81/722, 435/961, 860/132 is 2020140.