Least Common Multiple of 81/209, 744/385, 787/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/209, 744/385, 787/810 quickly i.e. 15809256 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/209, 744/385, 787/810 is 15809256.

LCM(81/209, 744/385, 787/810) = 15809256

LCM of 81/209, 744/385, 787/810

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 81/209,744/385,787/810

Given numbers are 81/209,744/385,787/810

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 81,744,787

Least Common Multiple of Numerators i.e. LCM of 81,744,787 is 15809256.

GCF of Denominators means GCF of 209,385,810 as per the given fractions.

GCF of 209,385,810 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,744,787

LCM of Fractions 81/209,744/385,787/810 is 15809256

3 81, 744, 787
27, 248, 787

∴ So the LCM of the given numbers is 3 x 27 x 248 x 787 = 15809256

Least Common Multiple of 81,744,787 with GCF Formula

Least Common Multiple of 81,744,787 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 81,744,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,744,787) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(81,744,787) x common factors =1 x 3 = 3

LCM(81,744,787) = ( 81 × 744 × 787 ) / 3

LCM(81,744,787) = 47427768 / 3

LCM(81,744,787) = 15809256


Lets's calculate GCF of 209,385,810

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15809256/1

Therefore the LCM of Fractions 81/209,744/385,787/810 is 15809256

Greatest Common Factor of 209,385,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,385,810 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 209,385,810 . The biggest common factor number is the GCF number.
So the greatest common factor 209,385,810 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 81/209, 744/385, 787/810

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 81/209, 744/385, 787/810?

Answer: LCM of Numerators as per given numbers 81/209, 744/385, 787/810 is

LCM of Numerators i.e. for 81,744,787 is 15809256

GCF of denominators i.e. for 209,385,810 is 1.

Thus, LCM of Fractions is 15809256.Finally, LCM of Fractions for 81/209, 744/385, 787/810 is 15809256.