Least Common Multiple of 290/65, 813/93, 326/394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 290/65, 813/93, 326/394 quickly i.e. 38430510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 290/65, 813/93, 326/394 is 38430510.

LCM(290/65, 813/93, 326/394) = 38430510

LCM of 290/65, 813/93, 326/394

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 290/65,813/93,326/394

Given numbers are 290/65,813/93,326/394

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 290,813,326

Least Common Multiple of Numerators i.e. LCM of 290,813,326 is 38430510.

GCF of Denominators means GCF of 65,93,394 as per the given fractions.

GCF of 65,93,394 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 290,813,326

LCM of Fractions 290/65,813/93,326/394 is 38430510

2 290, 813, 326
145, 813, 163

∴ So the LCM of the given numbers is 2 x 145 x 813 x 163 = 38430510

Least Common Multiple of 290,813,326 with GCF Formula

Least Common Multiple of 290,813,326 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 290,813,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(290,813,326) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(290,813,326) x common factors =1 x 2 = 2

LCM(290,813,326) = ( 290 × 813 × 326 ) / 2

LCM(290,813,326) = 76861020 / 2

LCM(290,813,326) = 38430510


Lets's calculate GCF of 65,93,394

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38430510/1

Therefore the LCM of Fractions 290/65,813/93,326/394 is 38430510

Greatest Common Factor of 65,93,394 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,93,394 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 394

List of positive integer factors of 394 that divides 394 without a remainder.

1,2,197,394

Greatest Common Factor

We found the factors 65,93,394 . The biggest common factor number is the GCF number.
So the greatest common factor 65,93,394 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 290/65, 813/93, 326/394

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 290/65, 813/93, 326/394?

Answer: LCM of Numerators as per given numbers 290/65, 813/93, 326/394 is

LCM of Numerators i.e. for 290,813,326 is 38430510

GCF of denominators i.e. for 65,93,394 is 1.

Thus, LCM of Fractions is 38430510.Finally, LCM of Fractions for 290/65, 813/93, 326/394 is 38430510.