Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/724, 25/789, 953/569 quickly i.e. 667100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/724, 25/789, 953/569 is 667100.
LCM(28/724, 25/789, 953/569) = 667100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/724,25/789,953/569
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 28,25,953
Least Common Multiple of Numerators i.e. LCM of 28,25,953 is 667100.
GCF of Denominators means GCF of 724,789,569 as per the given fractions.
GCF of 724,789,569 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,25,953
Given numbers has no common factors except 1. So, there LCM is their product i.e 667100
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 28,25,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,25,953) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(28,25,953) x common factors =1 x 1 = 1
LCM(28,25,953) = ( 28 × 25 × 953 ) / 1
LCM(28,25,953) = 667100 / 1
LCM(28,25,953) = 667100
Lets's calculate GCF of 724,789,569
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 667100/1
Therefore the LCM of Fractions 28/724,25/789,953/569 is 667100
Factors of 724
List of positive integer factors of 724 that divides 724 without a remainder.
1,2,4,181,362,724
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Factors of 569
List of positive integer factors of 569 that divides 569 without a remainder.
1,569
Greatest Common Factor
We found the factors 724,789,569 . The biggest common factor number is the GCF number.
So the greatest common factor 724,789,569 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 28/724, 25/789, 953/569?
Answer: LCM of Numerators as per given numbers 28/724, 25/789, 953/569 is
LCM of Numerators i.e. for 28,25,953 is 667100
GCF of denominators i.e. for 724,789,569 is 1.
Thus, LCM of Fractions is 667100.Finally, LCM of Fractions for 28/724, 25/789, 953/569 is 667100.