Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/614, 25/570, 772/517 quickly i.e. 443900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/614, 25/570, 772/517 is 443900.
LCM(23/614, 25/570, 772/517) = 443900
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/614,25/570,772/517
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 23,25,772
Least Common Multiple of Numerators i.e. LCM of 23,25,772 is 443900.
GCF of Denominators means GCF of 614,570,517 as per the given fractions.
GCF of 614,570,517 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,25,772
Given numbers has no common factors except 1. So, there LCM is their product i.e 443900
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 23,25,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,25,772) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(23,25,772) x common factors =1 x 1 = 1
LCM(23,25,772) = ( 23 × 25 × 772 ) / 1
LCM(23,25,772) = 443900 / 1
LCM(23,25,772) = 443900
Lets's calculate GCF of 614,570,517
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 443900/1
Therefore the LCM of Fractions 23/614,25/570,772/517 is 443900
Factors of 614
List of positive integer factors of 614 that divides 614 without a remainder.
1,2,307,614
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Greatest Common Factor
We found the factors 614,570,517 . The biggest common factor number is the GCF number.
So the greatest common factor 614,570,517 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 23/614, 25/570, 772/517?
Answer: LCM of Numerators as per given numbers 23/614, 25/570, 772/517 is
LCM of Numerators i.e. for 23,25,772 is 443900
GCF of denominators i.e. for 614,570,517 is 1.
Thus, LCM of Fractions is 443900.Finally, LCM of Fractions for 23/614, 25/570, 772/517 is 443900.