Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/605, 737/533, 214/725 quickly i.e. 5835566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/605, 737/533, 214/725 is 5835566.
LCM(37/605, 737/533, 214/725) = 5835566
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/605,737/533,214/725
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 37,737,214
Least Common Multiple of Numerators i.e. LCM of 37,737,214 is 5835566.
GCF of Denominators means GCF of 605,533,725 as per the given fractions.
GCF of 605,533,725 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,737,214
Given numbers has no common factors except 1. So, there LCM is their product i.e 5835566
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 37,737,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,737,214) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,737,214) x common factors =1 x 1 = 1
LCM(37,737,214) = ( 37 × 737 × 214 ) / 1
LCM(37,737,214) = 5835566 / 1
LCM(37,737,214) = 5835566
Lets's calculate GCF of 605,533,725
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5835566/1
Therefore the LCM of Fractions 37/605,737/533,214/725 is 5835566
Factors of 605
List of positive integer factors of 605 that divides 605 without a remainder.
1,5,11,55,121,605
Factors of 533
List of positive integer factors of 533 that divides 533 without a remainder.
1,13,41,533
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Greatest Common Factor
We found the factors 605,533,725 . The biggest common factor number is the GCF number.
So the greatest common factor 605,533,725 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 37/605, 737/533, 214/725?
Answer: LCM of Numerators as per given numbers 37/605, 737/533, 214/725 is
LCM of Numerators i.e. for 37,737,214 is 5835566
GCF of denominators i.e. for 605,533,725 is 1.
Thus, LCM of Fractions is 5835566.Finally, LCM of Fractions for 37/605, 737/533, 214/725 is 5835566.