Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/608, 1425/6415 quickly i.e. 74100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/608, 1425/6415 is 74100.
LCM(52/608, 1425/6415) = 74100
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/608,1425/6415
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 52,1425
Least Common Multiple of Numerators i.e. LCM of 52,1425 is 74100.
GCF of Denominators means GCF of 608,6415 as per the given fractions.
GCF of 608,6415 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,1425
Given numbers has no common factors except 1. So, there LCM is their product i.e 74100
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 52,1425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,1425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(52,1425) x common factors =1 x 1 = 1
LCM(52,1425) = ( 52 × 1425 ) / 1
LCM(52,1425) = 74100 / 1
LCM(52,1425) = 74100
Lets's calculate GCF of 608,6415
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74100/1
Therefore the LCM of Fractions 52/608,1425/6415 is 74100
Factors of 608
List of positive integer factors of 608 that divides 608 without a remainder.
1,2,4,8,16,19,32,38,76,152,304,608
Factors of 6415
List of positive integer factors of 6415 that divides 6415 without a remainder.
1,5,1283,6415
Greatest Common Factor
We found the factors 608,6415 . The biggest common factor number is the GCF number.
So the greatest common factor 608,6415 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 52/608, 1425/6415?
Answer: LCM of Numerators as per given numbers 52/608, 1425/6415 is
LCM of Numerators i.e. for 52,1425 is 74100
GCF of denominators i.e. for 608,6415 is 1.
Thus, LCM of Fractions is 74100.Finally, LCM of Fractions for 52/608, 1425/6415 is 74100.