Least Common Multiple of 5305/460, 9743/5210

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5305/460, 9743/5210 quickly i.e. 51686615/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5305/460, 9743/5210 is 51686615/10.

LCM(5305/460, 9743/5210) = 51686615/10

LCM of 5305/460, 9743/5210

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 5305/460,9743/5210

Given numbers are 5305/460,9743/5210

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 5305,9743

Least Common Multiple of Numerators i.e. LCM of 5305,9743 is 51686615.

GCF of Denominators means GCF of 460,5210 as per the given fractions.

GCF of 460,5210 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5305,9743

LCM of Fractions 5305/460,9743/5210 is 51686615/10

Given numbers has no common factors except 1. So, there LCM is their product i.e 51686615

Least Common Multiple of 5305,9743 with GCF Formula

Least Common Multiple of 5305,9743 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 5305,9743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5305,9743) = 1

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

GCF(5305,9743) x common factors =1 x 1 = 1

LCM(5305,9743) = ( 5305 × 9743 ) / 1

LCM(5305,9743) = 51686615 / 1

LCM(5305,9743) = 51686615


Lets's calculate GCF of 460,5210

2 460, 5210
5 230, 2605
46, 521

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51686615/10

Therefore the LCM of Fractions 5305/460,9743/5210 is 51686615/10

Greatest Common Factor of 460,5210 By Matching Biggest Common Factor Method

Greatest Common Factor of 460,5210 By Matching Biggest Common Factor Method

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 5210

List of positive integer factors of 5210 that divides 5210 without a remainder.

1,2,5,10,521,1042,2605,5210

Greatest Common Factor

We found the factors 460,5210 . The biggest common factor number is the GCF number.
So the greatest common factor 460,5210 is 10.


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 5305/460, 9743/5210

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 5305/460, 9743/5210?

Answer: LCM of Numerators as per given numbers 5305/460, 9743/5210 is

LCM of Numerators i.e. for 5305,9743 is 51686615

GCF of denominators i.e. for 460,5210 is 10.

Thus, LCM of Fractions is 51686615/10.Finally, LCM of Fractions for 5305/460, 9743/5210 is 51686615/10.