Least Common Multiple of 414/30, 939/8348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 414/30, 939/8348 quickly i.e. 64791 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 414/30, 939/8348 is 64791.

LCM(414/30, 939/8348) = 64791

LCM of 414/30, 939/8348

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 414/30,939/8348

Given numbers are 414/30,939/8348

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 414,939

Least Common Multiple of Numerators i.e. LCM of 414,939 is 129582.

GCF of Denominators means GCF of 30,8348 as per the given fractions.

GCF of 30,8348 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 414,939

LCM of Fractions 414/30,939/8348 is 64791

3 414, 939
138, 313

∴ So the LCM of the given numbers is 3 x 138 x 313 = 129582

Least Common Multiple of 414,939 with GCF Formula

Least Common Multiple of 414,939 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 414,939 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,939) = 3

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

GCF(414,939) x common factors =3 x 1 = 3

LCM(414,939) = ( 414 × 939 ) / 3

LCM(414,939) = 388746 / 3

LCM(414,939) = 129582


Lets's calculate GCF of 30,8348

2 30, 8348
15, 4174

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 129582/2

Therefore the LCM of Fractions 414/30,939/8348 is 64791

Greatest Common Factor of 30,8348 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,8348 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 8348

List of positive integer factors of 8348 that divides 8348 without a remainder.

1,2,4,2087,4174,8348

Greatest Common Factor

We found the factors 30,8348 . The biggest common factor number is the GCF number.
So the greatest common factor 30,8348 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 414/30, 939/8348

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 414/30, 939/8348?

Answer: LCM of Numerators as per given numbers 414/30, 939/8348 is

LCM of Numerators i.e. for 414,939 is 129582

GCF of denominators i.e. for 30,8348 is 2.

Thus, LCM of Fractions is 64791.Finally, LCM of Fractions for 414/30, 939/8348 is 64791.