Least Common Multiple of 36/824, 5659/4626

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/824, 5659/4626 quickly i.e. 101862 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/824, 5659/4626 is 101862.

LCM(36/824, 5659/4626) = 101862

LCM of 36/824, 5659/4626

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 36/824,5659/4626

Given numbers are 36/824,5659/4626

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 36,5659

Least Common Multiple of Numerators i.e. LCM of 36,5659 is 203724.

GCF of Denominators means GCF of 824,4626 as per the given fractions.

GCF of 824,4626 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,5659

LCM of Fractions 36/824,5659/4626 is 101862

Given numbers has no common factors except 1. So, there LCM is their product i.e 203724

Least Common Multiple of 36,5659 with GCF Formula

Least Common Multiple of 36,5659 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 36,5659 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,5659) = 1

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

GCF(36,5659) x common factors =1 x 1 = 1

LCM(36,5659) = ( 36 × 5659 ) / 1

LCM(36,5659) = 203724 / 1

LCM(36,5659) = 203724


Lets's calculate GCF of 824,4626

2 824, 4626
412, 2313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 203724/2

Therefore the LCM of Fractions 36/824,5659/4626 is 101862

Greatest Common Factor of 824,4626 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,4626 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 4626

List of positive integer factors of 4626 that divides 4626 without a remainder.

1,2,3,6,9,18,257,514,771,1542,2313,4626

Greatest Common Factor

We found the factors 824,4626 . The biggest common factor number is the GCF number.
So the greatest common factor 824,4626 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 36/824, 5659/4626

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 36/824, 5659/4626?

Answer: LCM of Numerators as per given numbers 36/824, 5659/4626 is

LCM of Numerators i.e. for 36,5659 is 203724

GCF of denominators i.e. for 824,4626 is 2.

Thus, LCM of Fractions is 101862.Finally, LCM of Fractions for 36/824, 5659/4626 is 101862.