Least Common Multiple of 258/542, 3636/2430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/542, 3636/2430 quickly i.e. 78174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/542, 3636/2430 is 78174.

LCM(258/542, 3636/2430) = 78174

LCM of 258/542, 3636/2430

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 258/542,3636/2430

Given numbers are 258/542,3636/2430

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 258,3636

Least Common Multiple of Numerators i.e. LCM of 258,3636 is 156348.

GCF of Denominators means GCF of 542,2430 as per the given fractions.

GCF of 542,2430 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,3636

LCM of Fractions 258/542,3636/2430 is 78174

2 258, 3636
3 129, 1818
43, 606

∴ So the LCM of the given numbers is 2 x 3 x 43 x 606 = 156348

Least Common Multiple of 258,3636 with GCF Formula

Least Common Multiple of 258,3636 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 258,3636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,3636) = 6

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

GCF(258,3636) x common factors =6 x 1 = 6

LCM(258,3636) = ( 258 × 3636 ) / 6

LCM(258,3636) = 938088 / 6

LCM(258,3636) = 156348


Lets's calculate GCF of 542,2430

2 542, 2430
271, 1215

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156348/2

Therefore the LCM of Fractions 258/542,3636/2430 is 78174

Greatest Common Factor of 542,2430 By Matching Biggest Common Factor Method

Greatest Common Factor of 542,2430 By Matching Biggest Common Factor Method

Factors of 542

List of positive integer factors of 542 that divides 542 without a remainder.

1,2,271,542

Factors of 2430

List of positive integer factors of 2430 that divides 2430 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,243,270,405,486,810,1215,2430

Greatest Common Factor

We found the factors 542,2430 . The biggest common factor number is the GCF number.
So the greatest common factor 542,2430 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 258/542, 3636/2430

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 258/542, 3636/2430?

Answer: LCM of Numerators as per given numbers 258/542, 3636/2430 is

LCM of Numerators i.e. for 258,3636 is 156348

GCF of denominators i.e. for 542,2430 is 2.

Thus, LCM of Fractions is 78174.Finally, LCM of Fractions for 258/542, 3636/2430 is 78174.