Least Common Multiple of 81/509, 56/730, 221/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/509, 56/730, 221/860 quickly i.e. 1002456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/509, 56/730, 221/860 is 1002456.

LCM(81/509, 56/730, 221/860) = 1002456

LCM of 81/509, 56/730, 221/860

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 81/509,56/730,221/860

Given numbers are 81/509,56/730,221/860

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 81,56,221

Least Common Multiple of Numerators i.e. LCM of 81,56,221 is 1002456.

GCF of Denominators means GCF of 509,730,860 as per the given fractions.

GCF of 509,730,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,56,221

LCM of Fractions 81/509,56/730,221/860 is 1002456

Given numbers has no common factors except 1. So, there LCM is their product i.e 1002456

Least Common Multiple of 81,56,221 with GCF Formula

Least Common Multiple of 81,56,221 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 81,56,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,56,221) = 1

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

GCF(81,56,221) x common factors =1 x 1 = 1

LCM(81,56,221) = ( 81 × 56 × 221 ) / 1

LCM(81,56,221) = 1002456 / 1

LCM(81,56,221) = 1002456


Lets's calculate GCF of 509,730,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1002456/1

Therefore the LCM of Fractions 81/509,56/730,221/860 is 1002456

Greatest Common Factor of 509,730,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 509,730,860 By Matching Biggest Common Factor Method

Factors of 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 509,730,860 . The biggest common factor number is the GCF number.
So the greatest common factor 509,730,860 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 81/509, 56/730, 221/860

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 81/509, 56/730, 221/860?

Answer: LCM of Numerators as per given numbers 81/509, 56/730, 221/860 is

LCM of Numerators i.e. for 81,56,221 is 1002456

GCF of denominators i.e. for 509,730,860 is 1.

Thus, LCM of Fractions is 1002456.Finally, LCM of Fractions for 81/509, 56/730, 221/860 is 1002456.