Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/574, 624/899, 295/299 quickly i.e. 184080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/574, 624/899, 295/299 is 184080.
LCM(20/574, 624/899, 295/299) = 184080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/574,624/899,295/299
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 20,624,295
Least Common Multiple of Numerators i.e. LCM of 20,624,295 is 184080.
GCF of Denominators means GCF of 574,899,299 as per the given fractions.
GCF of 574,899,299 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,624,295
2 | 20, 624, 295 |
2 | 10, 312, 295 |
5 | 5, 156, 295 |
1, 156, 59 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 156 x 59 = 184080
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 20,624,295 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,624,295) = 1
common factors(in case of two or more numbers have common factors) = 20
GCF(20,624,295) x common factors =1 x 20 = 20
LCM(20,624,295) = ( 20 × 624 × 295 ) / 20
LCM(20,624,295) = 3681600 / 20
LCM(20,624,295) = 184080
Lets's calculate GCF of 574,899,299
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184080/1
Therefore the LCM of Fractions 20/574,624/899,295/299 is 184080
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Factors of 899
List of positive integer factors of 899 that divides 899 without a remainder.
1,29,31,899
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Greatest Common Factor
We found the factors 574,899,299 . The biggest common factor number is the GCF number.
So the greatest common factor 574,899,299 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 20/574, 624/899, 295/299?
Answer: LCM of Numerators as per given numbers 20/574, 624/899, 295/299 is
LCM of Numerators i.e. for 20,624,295 is 184080
GCF of denominators i.e. for 574,899,299 is 1.
Thus, LCM of Fractions is 184080.Finally, LCM of Fractions for 20/574, 624/899, 295/299 is 184080.