Least Common Multiple of 505/28, 936/5652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 505/28, 936/5652 quickly i.e. 118170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 505/28, 936/5652 is 118170.

LCM(505/28, 936/5652) = 118170

LCM of 505/28, 936/5652

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 505/28,936/5652

Given numbers are 505/28,936/5652

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 505,936

Least Common Multiple of Numerators i.e. LCM of 505,936 is 472680.

GCF of Denominators means GCF of 28,5652 as per the given fractions.

GCF of 28,5652 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 505,936

LCM of Fractions 505/28,936/5652 is 118170

Given numbers has no common factors except 1. So, there LCM is their product i.e 472680

Least Common Multiple of 505,936 with GCF Formula

Least Common Multiple of 505,936 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 505,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(505,936) = 1

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

GCF(505,936) x common factors =1 x 1 = 1

LCM(505,936) = ( 505 × 936 ) / 1

LCM(505,936) = 472680 / 1

LCM(505,936) = 472680


Lets's calculate GCF of 28,5652

2 28, 5652
2 14, 2826
7, 1413

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 472680/4

Therefore the LCM of Fractions 505/28,936/5652 is 118170

Greatest Common Factor of 28,5652 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,5652 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 5652

List of positive integer factors of 5652 that divides 5652 without a remainder.

1,2,3,4,6,9,12,18,36,157,314,471,628,942,1413,1884,2826,5652

Greatest Common Factor

We found the factors 28,5652 . The biggest common factor number is the GCF number.
So the greatest common factor 28,5652 is 4.


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 505/28, 936/5652

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 505/28, 936/5652?

Answer: LCM of Numerators as per given numbers 505/28, 936/5652 is

LCM of Numerators i.e. for 505,936 is 472680

GCF of denominators i.e. for 28,5652 is 4.

Thus, LCM of Fractions is 118170.Finally, LCM of Fractions for 505/28, 936/5652 is 118170.