Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/192, 575/869, 225/498 quickly i.e. 20700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/192, 575/869, 225/498 is 20700.
LCM(12/192, 575/869, 225/498) = 20700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/192,575/869,225/498
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 12,575,225
Least Common Multiple of Numerators i.e. LCM of 12,575,225 is 20700.
GCF of Denominators means GCF of 192,869,498 as per the given fractions.
GCF of 192,869,498 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,575,225
3 | 12, 575, 225 |
5 | 4, 575, 75 |
5 | 4, 115, 15 |
4, 23, 3 |
∴ So the LCM of the given numbers is 3 x 5 x 5 x 4 x 23 x 3 = 20700
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 12,575,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,575,225) = 1
common factors(in case of two or more numbers have common factors) = 75
GCF(12,575,225) x common factors =1 x 75 = 75
LCM(12,575,225) = ( 12 × 575 × 225 ) / 75
LCM(12,575,225) = 1552500 / 75
LCM(12,575,225) = 20700
Lets's calculate GCF of 192,869,498
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20700/1
Therefore the LCM of Fractions 12/192,575/869,225/498 is 20700
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 869
List of positive integer factors of 869 that divides 869 without a remainder.
1,11,79,869
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Greatest Common Factor
We found the factors 192,869,498 . The biggest common factor number is the GCF number.
So the greatest common factor 192,869,498 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 12/192, 575/869, 225/498?
Answer: LCM of Numerators as per given numbers 12/192, 575/869, 225/498 is
LCM of Numerators i.e. for 12,575,225 is 20700
GCF of denominators i.e. for 192,869,498 is 1.
Thus, LCM of Fractions is 20700.Finally, LCM of Fractions for 12/192, 575/869, 225/498 is 20700.