Least Common Multiple of 310/81, 388/48, 717/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 310/81, 388/48, 717/44 quickly i.e. 43120380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 310/81, 388/48, 717/44 is 43120380.

LCM(310/81, 388/48, 717/44) = 43120380

LCM of 310/81, 388/48, 717/44

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 310/81,388/48,717/44

Given numbers are 310/81,388/48,717/44

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 310,388,717

Least Common Multiple of Numerators i.e. LCM of 310,388,717 is 43120380.

GCF of Denominators means GCF of 81,48,44 as per the given fractions.

GCF of 81,48,44 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 310,388,717

LCM of Fractions 310/81,388/48,717/44 is 43120380

2 310, 388, 717
155, 194, 717

∴ So the LCM of the given numbers is 2 x 155 x 194 x 717 = 43120380

Least Common Multiple of 310,388,717 with GCF Formula

Least Common Multiple of 310,388,717 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 310,388,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(310,388,717) = 1

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

GCF(310,388,717) x common factors =1 x 2 = 2

LCM(310,388,717) = ( 310 × 388 × 717 ) / 2

LCM(310,388,717) = 86240760 / 2

LCM(310,388,717) = 43120380


Lets's calculate GCF of 81,48,44

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43120380/1

Therefore the LCM of Fractions 310/81,388/48,717/44 is 43120380

Greatest Common Factor of 81,48,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,48,44 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors 81,48,44 . The biggest common factor number is the GCF number.
So the greatest common factor 81,48,44 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 310/81, 388/48, 717/44

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 310/81, 388/48, 717/44?

Answer: LCM of Numerators as per given numbers 310/81, 388/48, 717/44 is

LCM of Numerators i.e. for 310,388,717 is 43120380

GCF of denominators i.e. for 81,48,44 is 1.

Thus, LCM of Fractions is 43120380.Finally, LCM of Fractions for 310/81, 388/48, 717/44 is 43120380.