Least Common Multiple of 5286/10, 3682/590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5286/10, 3682/590 quickly i.e. 9731526/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5286/10, 3682/590 is 9731526/10.

LCM(5286/10, 3682/590) = 9731526/10

LCM of 5286/10, 3682/590

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 5286/10,3682/590

Given numbers are 5286/10,3682/590

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 5286,3682

Least Common Multiple of Numerators i.e. LCM of 5286,3682 is 9731526.

GCF of Denominators means GCF of 10,590 as per the given fractions.

GCF of 10,590 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5286,3682

LCM of Fractions 5286/10,3682/590 is 9731526/10

2 5286, 3682
2643, 1841

∴ So the LCM of the given numbers is 2 x 2643 x 1841 = 9731526

Least Common Multiple of 5286,3682 with GCF Formula

Least Common Multiple of 5286,3682 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 5286,3682 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5286,3682) = 2

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

GCF(5286,3682) x common factors =2 x 1 = 2

LCM(5286,3682) = ( 5286 × 3682 ) / 2

LCM(5286,3682) = 19463052 / 2

LCM(5286,3682) = 9731526


Lets's calculate GCF of 10,590

2 10, 590
5 5, 295
1, 59

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9731526/10

Therefore the LCM of Fractions 5286/10,3682/590 is 9731526/10

Greatest Common Factor of 10,590 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,590 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Greatest Common Factor

We found the factors 10,590 . The biggest common factor number is the GCF number.
So the greatest common factor 10,590 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 5286/10, 3682/590

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 5286/10, 3682/590?

Answer: LCM of Numerators as per given numbers 5286/10, 3682/590 is

LCM of Numerators i.e. for 5286,3682 is 9731526

GCF of denominators i.e. for 10,590 is 10.

Thus, LCM of Fractions is 9731526/10.Finally, LCM of Fractions for 5286/10, 3682/590 is 9731526/10.