Least Common Multiple of 4275/842, 4239/5538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4275/842, 4239/5538 quickly i.e. 2013525/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4275/842, 4239/5538 is 2013525/2.

LCM(4275/842, 4239/5538) = 2013525/2

LCM of 4275/842, 4239/5538

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 4275/842,4239/5538

Given numbers are 4275/842,4239/5538

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 4275,4239

Least Common Multiple of Numerators i.e. LCM of 4275,4239 is 2013525.

GCF of Denominators means GCF of 842,5538 as per the given fractions.

GCF of 842,5538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4275,4239

LCM of Fractions 4275/842,4239/5538 is 2013525/2

3 4275, 4239
3 1425, 1413
475, 471

∴ So the LCM of the given numbers is 3 x 3 x 475 x 471 = 2013525

Least Common Multiple of 4275,4239 with GCF Formula

Least Common Multiple of 4275,4239 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 4275,4239 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4275,4239) = 9

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

GCF(4275,4239) x common factors =9 x 1 = 9

LCM(4275,4239) = ( 4275 × 4239 ) / 9

LCM(4275,4239) = 18121725 / 9

LCM(4275,4239) = 2013525


Lets's calculate GCF of 842,5538

2 842, 5538
421, 2769

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2013525/2

Therefore the LCM of Fractions 4275/842,4239/5538 is 2013525/2

Greatest Common Factor of 842,5538 By Matching Biggest Common Factor Method

Greatest Common Factor of 842,5538 By Matching Biggest Common Factor Method

Factors of 842

List of positive integer factors of 842 that divides 842 without a remainder.

1,2,421,842

Factors of 5538

List of positive integer factors of 5538 that divides 5538 without a remainder.

1,2,3,6,13,26,39,71,78,142,213,426,923,1846,2769,5538

Greatest Common Factor

We found the factors 842,5538 . The biggest common factor number is the GCF number.
So the greatest common factor 842,5538 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4275/842, 4239/5538

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 4275/842, 4239/5538?

Answer: LCM of Numerators as per given numbers 4275/842, 4239/5538 is

LCM of Numerators i.e. for 4275,4239 is 2013525

GCF of denominators i.e. for 842,5538 is 2.

Thus, LCM of Fractions is 2013525/2.Finally, LCM of Fractions for 4275/842, 4239/5538 is 2013525/2.