Least Common Multiple of 293/38, 717/5306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 293/38, 717/5306 quickly i.e. 210081/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 293/38, 717/5306 is 210081/2.

LCM(293/38, 717/5306) = 210081/2

LCM of 293/38, 717/5306

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 293/38,717/5306

Given numbers are 293/38,717/5306

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 293,717

Least Common Multiple of Numerators i.e. LCM of 293,717 is 210081.

GCF of Denominators means GCF of 38,5306 as per the given fractions.

GCF of 38,5306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 293,717

LCM of Fractions 293/38,717/5306 is 210081/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 210081

Least Common Multiple of 293,717 with GCF Formula

Least Common Multiple of 293,717 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 293,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(293,717) = 1

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

GCF(293,717) x common factors =1 x 1 = 1

LCM(293,717) = ( 293 × 717 ) / 1

LCM(293,717) = 210081 / 1

LCM(293,717) = 210081


Lets's calculate GCF of 38,5306

2 38, 5306
19, 2653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210081/2

Therefore the LCM of Fractions 293/38,717/5306 is 210081/2

Greatest Common Factor of 38,5306 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,5306 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 5306

List of positive integer factors of 5306 that divides 5306 without a remainder.

1,2,7,14,379,758,2653,5306

Greatest Common Factor

We found the factors 38,5306 . The biggest common factor number is the GCF number.
So the greatest common factor 38,5306 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 293/38, 717/5306

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 293/38, 717/5306?

Answer: LCM of Numerators as per given numbers 293/38, 717/5306 is

LCM of Numerators i.e. for 293,717 is 210081

GCF of denominators i.e. for 38,5306 is 2.

Thus, LCM of Fractions is 210081/2.Finally, LCM of Fractions for 293/38, 717/5306 is 210081/2.