Least Common Multiple of 82/909, 145/738, 330/103

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/909, 145/738, 330/103 quickly i.e. 392370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/909, 145/738, 330/103 is 392370.

LCM(82/909, 145/738, 330/103) = 392370

LCM of 82/909, 145/738, 330/103

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 82/909,145/738,330/103

Given numbers are 82/909,145/738,330/103

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 82,145,330

Least Common Multiple of Numerators i.e. LCM of 82,145,330 is 392370.

GCF of Denominators means GCF of 909,738,103 as per the given fractions.

GCF of 909,738,103 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,145,330

LCM of Fractions 82/909,145/738,330/103 is 392370

2 82, 145, 330
5 41, 145, 165
41, 29, 33

∴ So the LCM of the given numbers is 2 x 5 x 41 x 29 x 33 = 392370

Least Common Multiple of 82,145,330 with GCF Formula

Least Common Multiple of 82,145,330 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 82,145,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,145,330) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(82,145,330) x common factors =1 x 10 = 10

LCM(82,145,330) = ( 82 × 145 × 330 ) / 10

LCM(82,145,330) = 3923700 / 10

LCM(82,145,330) = 392370


Lets's calculate GCF of 909,738,103

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 392370/1

Therefore the LCM of Fractions 82/909,145/738,330/103 is 392370

Greatest Common Factor of 909,738,103 By Matching Biggest Common Factor Method

Greatest Common Factor of 909,738,103 By Matching Biggest Common Factor Method

Factors of 909

List of positive integer factors of 909 that divides 909 without a remainder.

1,3,9,101,303,909

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Factors of 103

List of positive integer factors of 103 that divides 103 without a remainder.

1,103

Greatest Common Factor

We found the factors 909,738,103 . The biggest common factor number is the GCF number.
So the greatest common factor 909,738,103 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 82/909, 145/738, 330/103

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 82/909, 145/738, 330/103?

Answer: LCM of Numerators as per given numbers 82/909, 145/738, 330/103 is

LCM of Numerators i.e. for 82,145,330 is 392370

GCF of denominators i.e. for 909,738,103 is 1.

Thus, LCM of Fractions is 392370.Finally, LCM of Fractions for 82/909, 145/738, 330/103 is 392370.