Least Common Multiple of 293/10, 275/18, 865/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/10, 275/18, 865/728 quickly i.e. 13939475/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/10, 275/18, 865/728 is 13939475/2.

LCM(293/10, 275/18, 865/728) = 13939475/2

LCM of 293/10, 275/18, 865/728

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 293/10,275/18,865/728

Given numbers are 293/10,275/18,865/728

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 293,275,865

Least Common Multiple of Numerators i.e. LCM of 293,275,865 is 13939475.

GCF of Denominators means GCF of 10,18,728 as per the given fractions.

GCF of 10,18,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,275,865

LCM of Fractions 293/10,275/18,865/728 is 13939475/2

5 293, 275, 865
293, 55, 173

∴ So the LCM of the given numbers is 5 x 293 x 55 x 173 = 13939475

Least Common Multiple of 293,275,865 with GCF Formula

Least Common Multiple of 293,275,865 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 293,275,865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,275,865) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(293,275,865) x common factors =1 x 5 = 5

LCM(293,275,865) = ( 293 × 275 × 865 ) / 5

LCM(293,275,865) = 69697375 / 5

LCM(293,275,865) = 13939475


Lets's calculate GCF of 10,18,728

2 10, 18, 728
5, 9, 364

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13939475/2

Therefore the LCM of Fractions 293/10,275/18,865/728 is 13939475/2

Greatest Common Factor of 10,18,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,18,728 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 10,18,728 . The biggest common factor number is the GCF number.
So the greatest common factor 10,18,728 is 2.


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 293/10, 275/18, 865/728

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 293/10, 275/18, 865/728?

Answer: LCM of Numerators as per given numbers 293/10, 275/18, 865/728 is

LCM of Numerators i.e. for 293,275,865 is 13939475

GCF of denominators i.e. for 10,18,728 is 2.

Thus, LCM of Fractions is 13939475/2.Finally, LCM of Fractions for 293/10, 275/18, 865/728 is 13939475/2.