Least Common Multiple of 2838/236, 4644/558

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2838/236, 4644/558 quickly i.e. 25542 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2838/236, 4644/558 is 25542.

LCM(2838/236, 4644/558) = 25542

LCM of 2838/236, 4644/558

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 2838/236,4644/558

Given numbers are 2838/236,4644/558

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 2838,4644

Least Common Multiple of Numerators i.e. LCM of 2838,4644 is 51084.

GCF of Denominators means GCF of 236,558 as per the given fractions.

GCF of 236,558 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2838,4644

LCM of Fractions 2838/236,4644/558 is 25542

2 2838, 4644
3 1419, 2322
43 473, 774
11, 18

∴ So the LCM of the given numbers is 2 x 3 x 43 x 11 x 18 = 51084

Least Common Multiple of 2838,4644 with GCF Formula

Least Common Multiple of 2838,4644 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 2838,4644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2838,4644) = 258

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

GCF(2838,4644) x common factors =258 x 1 = 258

LCM(2838,4644) = ( 2838 × 4644 ) / 258

LCM(2838,4644) = 13179672 / 258

LCM(2838,4644) = 51084


Lets's calculate GCF of 236,558

2 236, 558
118, 279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51084/2

Therefore the LCM of Fractions 2838/236,4644/558 is 25542

Greatest Common Factor of 236,558 By Matching Biggest Common Factor Method

Greatest Common Factor of 236,558 By Matching Biggest Common Factor Method

Factors of 236

List of positive integer factors of 236 that divides 236 without a remainder.

1,2,4,59,118,236

Factors of 558

List of positive integer factors of 558 that divides 558 without a remainder.

1,2,3,6,9,18,31,62,93,186,279,558

Greatest Common Factor

We found the factors 236,558 . The biggest common factor number is the GCF number.
So the greatest common factor 236,558 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 2838/236, 4644/558

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 2838/236, 4644/558?

Answer: LCM of Numerators as per given numbers 2838/236, 4644/558 is

LCM of Numerators i.e. for 2838,4644 is 51084

GCF of denominators i.e. for 236,558 is 2.

Thus, LCM of Fractions is 25542.Finally, LCM of Fractions for 2838/236, 4644/558 is 25542.