Least Common Multiple of 236/20, 517/25, 192/825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 236/20, 517/25, 192/825 quickly i.e. 5856576/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 236/20, 517/25, 192/825 is 5856576/5.

LCM(236/20, 517/25, 192/825) = 5856576/5

LCM of 236/20, 517/25, 192/825

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 236/20,517/25,192/825

Given numbers are 236/20,517/25,192/825

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 236,517,192

Least Common Multiple of Numerators i.e. LCM of 236,517,192 is 5856576.

GCF of Denominators means GCF of 20,25,825 as per the given fractions.

GCF of 20,25,825 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 236,517,192

LCM of Fractions 236/20,517/25,192/825 is 5856576/5

2 236, 517, 192
2 118, 517, 96
59, 517, 48

∴ So the LCM of the given numbers is 2 x 2 x 59 x 517 x 48 = 5856576

Least Common Multiple of 236,517,192 with GCF Formula

Least Common Multiple of 236,517,192 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 236,517,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,517,192) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(236,517,192) x common factors =1 x 4 = 4

LCM(236,517,192) = ( 236 × 517 × 192 ) / 4

LCM(236,517,192) = 23426304 / 4

LCM(236,517,192) = 5856576


Lets's calculate GCF of 20,25,825

5 20, 25, 825
4, 5, 165

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5856576/5

Therefore the LCM of Fractions 236/20,517/25,192/825 is 5856576/5

Greatest Common Factor of 20,25,825 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,25,825 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Greatest Common Factor

We found the factors 20,25,825 . The biggest common factor number is the GCF number.
So the greatest common factor 20,25,825 is 5.


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 236/20, 517/25, 192/825

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 236/20, 517/25, 192/825?

Answer: LCM of Numerators as per given numbers 236/20, 517/25, 192/825 is

LCM of Numerators i.e. for 236,517,192 is 5856576

GCF of denominators i.e. for 20,25,825 is 5.

Thus, LCM of Fractions is 5856576/5.Finally, LCM of Fractions for 236/20, 517/25, 192/825 is 5856576/5.