Least Common Multiple of 30/438, 8291/2442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/438, 8291/2442 quickly i.e. 41455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/438, 8291/2442 is 41455.

LCM(30/438, 8291/2442) = 41455

LCM of 30/438, 8291/2442

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 30/438,8291/2442

Given numbers are 30/438,8291/2442

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 30,8291

Least Common Multiple of Numerators i.e. LCM of 30,8291 is 248730.

GCF of Denominators means GCF of 438,2442 as per the given fractions.

GCF of 438,2442 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,8291

LCM of Fractions 30/438,8291/2442 is 41455

Given numbers has no common factors except 1. So, there LCM is their product i.e 248730

Least Common Multiple of 30,8291 with GCF Formula

Least Common Multiple of 30,8291 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 30,8291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,8291) = 1

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

GCF(30,8291) x common factors =1 x 1 = 1

LCM(30,8291) = ( 30 × 8291 ) / 1

LCM(30,8291) = 248730 / 1

LCM(30,8291) = 248730


Lets's calculate GCF of 438,2442

2 438, 2442
3 219, 1221
73, 407

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248730/6

Therefore the LCM of Fractions 30/438,8291/2442 is 41455

Greatest Common Factor of 438,2442 By Matching Biggest Common Factor Method

Greatest Common Factor of 438,2442 By Matching Biggest Common Factor Method

Factors of 438

List of positive integer factors of 438 that divides 438 without a remainder.

1,2,3,6,73,146,219,438

Factors of 2442

List of positive integer factors of 2442 that divides 2442 without a remainder.

1,2,3,6,11,22,33,37,66,74,111,222,407,814,1221,2442

Greatest Common Factor

We found the factors 438,2442 . The biggest common factor number is the GCF number.
So the greatest common factor 438,2442 is 6.


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 30/438, 8291/2442

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 30/438, 8291/2442?

Answer: LCM of Numerators as per given numbers 30/438, 8291/2442 is

LCM of Numerators i.e. for 30,8291 is 248730

GCF of denominators i.e. for 438,2442 is 6.

Thus, LCM of Fractions is 41455.Finally, LCM of Fractions for 30/438, 8291/2442 is 41455.