Least Common Multiple of 13/56, 624/37, 396/303

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/56, 624/37, 396/303 quickly i.e. 20592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/56, 624/37, 396/303 is 20592.

LCM(13/56, 624/37, 396/303) = 20592

LCM of 13/56, 624/37, 396/303

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 13/56,624/37,396/303

Given numbers are 13/56,624/37,396/303

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 13,624,396

Least Common Multiple of Numerators i.e. LCM of 13,624,396 is 20592.

GCF of Denominators means GCF of 56,37,303 as per the given fractions.

GCF of 56,37,303 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,624,396

LCM of Fractions 13/56,624/37,396/303 is 20592

2 13, 624, 396
2 13, 312, 198
3 13, 156, 99
13 13, 52, 33
1, 4, 33

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 1 x 4 x 33 = 20592

Least Common Multiple of 13,624,396 with GCF Formula

Least Common Multiple of 13,624,396 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 13,624,396 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,624,396) = 1

common factors(in case of two or more numbers have common factors) = 156

GCF(13,624,396) x common factors =1 x 156 = 156

LCM(13,624,396) = ( 13 × 624 × 396 ) / 156

LCM(13,624,396) = 3212352 / 156

LCM(13,624,396) = 20592


Lets's calculate GCF of 56,37,303

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20592/1

Therefore the LCM of Fractions 13/56,624/37,396/303 is 20592

Greatest Common Factor of 56,37,303 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,37,303 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Greatest Common Factor

We found the factors 56,37,303 . The biggest common factor number is the GCF number.
So the greatest common factor 56,37,303 is 1.


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 13/56, 624/37, 396/303

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 13/56, 624/37, 396/303?

Answer: LCM of Numerators as per given numbers 13/56, 624/37, 396/303 is

LCM of Numerators i.e. for 13,624,396 is 20592

GCF of denominators i.e. for 56,37,303 is 1.

Thus, LCM of Fractions is 20592.Finally, LCM of Fractions for 13/56, 624/37, 396/303 is 20592.