Least Common Multiple of 5938/810, 8530/585

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5938/810, 8530/585 quickly i.e. 25325570/45 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5938/810, 8530/585 is 25325570/45.

LCM(5938/810, 8530/585) = 25325570/45

LCM of 5938/810, 8530/585

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 5938/810,8530/585

Given numbers are 5938/810,8530/585

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 5938,8530

Least Common Multiple of Numerators i.e. LCM of 5938,8530 is 25325570.

GCF of Denominators means GCF of 810,585 as per the given fractions.

GCF of 810,585 is 45 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5938,8530

LCM of Fractions 5938/810,8530/585 is 25325570/45

2 5938, 8530
2969, 4265

∴ So the LCM of the given numbers is 2 x 2969 x 4265 = 25325570

Least Common Multiple of 5938,8530 with GCF Formula

Least Common Multiple of 5938,8530 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 5938,8530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5938,8530) = 2

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

GCF(5938,8530) x common factors =2 x 1 = 2

LCM(5938,8530) = ( 5938 × 8530 ) / 2

LCM(5938,8530) = 50651140 / 2

LCM(5938,8530) = 25325570


Lets's calculate GCF of 810,585

3 810, 585
3 270, 195
5 90, 65
18, 13

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25325570/45

Therefore the LCM of Fractions 5938/810,8530/585 is 25325570/45

Greatest Common Factor of 810,585 By Matching Biggest Common Factor Method

Greatest Common Factor of 810,585 By Matching Biggest Common Factor Method

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

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

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Greatest Common Factor

We found the factors 810,585 . The biggest common factor number is the GCF number.
So the greatest common factor 810,585 is 45.


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 5938/810, 8530/585

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 5938/810, 8530/585?

Answer: LCM of Numerators as per given numbers 5938/810, 8530/585 is

LCM of Numerators i.e. for 5938,8530 is 25325570

GCF of denominators i.e. for 810,585 is 45.

Thus, LCM of Fractions is 25325570/45.Finally, LCM of Fractions for 5938/810, 8530/585 is 25325570/45.