Least Common Multiple of 2028/578, 8904/542

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2028/578, 8904/542 quickly i.e. 752388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2028/578, 8904/542 is 752388.

LCM(2028/578, 8904/542) = 752388

LCM of 2028/578, 8904/542

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 2028/578,8904/542

Given numbers are 2028/578,8904/542

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 2028,8904

Least Common Multiple of Numerators i.e. LCM of 2028,8904 is 1504776.

GCF of Denominators means GCF of 578,542 as per the given fractions.

GCF of 578,542 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2028,8904

LCM of Fractions 2028/578,8904/542 is 752388

2 2028, 8904
2 1014, 4452
3 507, 2226
169, 742

∴ So the LCM of the given numbers is 2 x 2 x 3 x 169 x 742 = 1504776

Least Common Multiple of 2028,8904 with GCF Formula

Least Common Multiple of 2028,8904 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 2028,8904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2028,8904) = 12

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

GCF(2028,8904) x common factors =12 x 1 = 12

LCM(2028,8904) = ( 2028 × 8904 ) / 12

LCM(2028,8904) = 18057312 / 12

LCM(2028,8904) = 1504776


Lets's calculate GCF of 578,542

2 578, 542
289, 271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1504776/2

Therefore the LCM of Fractions 2028/578,8904/542 is 752388

Greatest Common Factor of 578,542 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,542 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 542

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

1,2,271,542

Greatest Common Factor

We found the factors 578,542 . The biggest common factor number is the GCF number.
So the greatest common factor 578,542 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 2028/578, 8904/542

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 2028/578, 8904/542?

Answer: LCM of Numerators as per given numbers 2028/578, 8904/542 is

LCM of Numerators i.e. for 2028,8904 is 1504776

GCF of denominators i.e. for 578,542 is 2.

Thus, LCM of Fractions is 752388.Finally, LCM of Fractions for 2028/578, 8904/542 is 752388.