Least Common Multiple of 1820/592, 8183/4538

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1820/592, 8183/4538 quickly i.e. 1063790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1820/592, 8183/4538 is 1063790.

LCM(1820/592, 8183/4538) = 1063790

LCM of 1820/592, 8183/4538

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 1820/592,8183/4538

Given numbers are 1820/592,8183/4538

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 1820,8183

Least Common Multiple of Numerators i.e. LCM of 1820,8183 is 2127580.

GCF of Denominators means GCF of 592,4538 as per the given fractions.

GCF of 592,4538 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1820,8183

LCM of Fractions 1820/592,8183/4538 is 1063790

7 1820, 8183
260, 1169

∴ So the LCM of the given numbers is 7 x 260 x 1169 = 2127580

Least Common Multiple of 1820,8183 with GCF Formula

Least Common Multiple of 1820,8183 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 1820,8183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1820,8183) = 7

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

GCF(1820,8183) x common factors =7 x 1 = 7

LCM(1820,8183) = ( 1820 × 8183 ) / 7

LCM(1820,8183) = 14893060 / 7

LCM(1820,8183) = 2127580


Lets's calculate GCF of 592,4538

2 592, 4538
296, 2269

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2127580/2

Therefore the LCM of Fractions 1820/592,8183/4538 is 1063790

Greatest Common Factor of 592,4538 By Matching Biggest Common Factor Method

Greatest Common Factor of 592,4538 By Matching Biggest Common Factor Method

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Factors of 4538

List of positive integer factors of 4538 that divides 4538 without a remainder.

1,2,2269,4538

Greatest Common Factor

We found the factors 592,4538 . The biggest common factor number is the GCF number.
So the greatest common factor 592,4538 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 1820/592, 8183/4538

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 1820/592, 8183/4538?

Answer: LCM of Numerators as per given numbers 1820/592, 8183/4538 is

LCM of Numerators i.e. for 1820,8183 is 2127580

GCF of denominators i.e. for 592,4538 is 2.

Thus, LCM of Fractions is 1063790.Finally, LCM of Fractions for 1820/592, 8183/4538 is 1063790.