Least Common Multiple of 41/394, 953/315, 999/744

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/394, 953/315, 999/744 quickly i.e. 39033927 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/394, 953/315, 999/744 is 39033927.

LCM(41/394, 953/315, 999/744) = 39033927

LCM of 41/394, 953/315, 999/744

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 41/394,953/315,999/744

Given numbers are 41/394,953/315,999/744

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 41,953,999

Least Common Multiple of Numerators i.e. LCM of 41,953,999 is 39033927.

GCF of Denominators means GCF of 394,315,744 as per the given fractions.

GCF of 394,315,744 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,953,999

LCM of Fractions 41/394,953/315,999/744 is 39033927

Given numbers has no common factors except 1. So, there LCM is their product i.e 39033927

Least Common Multiple of 41,953,999 with GCF Formula

Least Common Multiple of 41,953,999 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 41,953,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,953,999) = 1

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

GCF(41,953,999) x common factors =1 x 1 = 1

LCM(41,953,999) = ( 41 × 953 × 999 ) / 1

LCM(41,953,999) = 39033927 / 1

LCM(41,953,999) = 39033927


Lets's calculate GCF of 394,315,744

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39033927/1

Therefore the LCM of Fractions 41/394,953/315,999/744 is 39033927

Greatest Common Factor of 394,315,744 By Matching Biggest Common Factor Method

Greatest Common Factor of 394,315,744 By Matching Biggest Common Factor Method

Factors of 394

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

1,2,197,394

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 394,315,744 . The biggest common factor number is the GCF number.
So the greatest common factor 394,315,744 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 41/394, 953/315, 999/744

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 41/394, 953/315, 999/744?

Answer: LCM of Numerators as per given numbers 41/394, 953/315, 999/744 is

LCM of Numerators i.e. for 41,953,999 is 39033927

GCF of denominators i.e. for 394,315,744 is 1.

Thus, LCM of Fractions is 39033927.Finally, LCM of Fractions for 41/394, 953/315, 999/744 is 39033927.