Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 661/388, 607/337, 612/525 quickly i.e. 245550924 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 661/388, 607/337, 612/525 is 245550924.
LCM(661/388, 607/337, 612/525) = 245550924
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 661/388,607/337,612/525
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 661,607,612
Least Common Multiple of Numerators i.e. LCM of 661,607,612 is 245550924.
GCF of Denominators means GCF of 388,337,525 as per the given fractions.
GCF of 388,337,525 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 661,607,612
Given numbers has no common factors except 1. So, there LCM is their product i.e 245550924
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 661,607,612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(661,607,612) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(661,607,612) x common factors =1 x 1 = 1
LCM(661,607,612) = ( 661 × 607 × 612 ) / 1
LCM(661,607,612) = 245550924 / 1
LCM(661,607,612) = 245550924
Lets's calculate GCF of 388,337,525
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 245550924/1
Therefore the LCM of Fractions 661/388,607/337,612/525 is 245550924
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 337
List of positive integer factors of 337 that divides 337 without a remainder.
1,337
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 388,337,525 . The biggest common factor number is the GCF number.
So the greatest common factor 388,337,525 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 661/388, 607/337, 612/525?
Answer: LCM of Numerators as per given numbers 661/388, 607/337, 612/525 is
LCM of Numerators i.e. for 661,607,612 is 245550924
GCF of denominators i.e. for 388,337,525 is 1.
Thus, LCM of Fractions is 245550924.Finally, LCM of Fractions for 661/388, 607/337, 612/525 is 245550924.