Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 609/12, 631/3735 quickly i.e. 128093 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 609/12, 631/3735 is 128093.
LCM(609/12, 631/3735) = 128093
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 609/12,631/3735
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 609,631
Least Common Multiple of Numerators i.e. LCM of 609,631 is 384279.
GCF of Denominators means GCF of 12,3735 as per the given fractions.
GCF of 12,3735 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 609,631
Given numbers has no common factors except 1. So, there LCM is their product i.e 384279
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 609,631 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(609,631) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(609,631) x common factors =1 x 1 = 1
LCM(609,631) = ( 609 × 631 ) / 1
LCM(609,631) = 384279 / 1
LCM(609,631) = 384279
Lets's calculate GCF of 12,3735
3 | 12, 3735 |
4, 1245 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 384279/3
Therefore the LCM of Fractions 609/12,631/3735 is 128093
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 3735
List of positive integer factors of 3735 that divides 3735 without a remainder.
1,3,5,9,15,45,83,249,415,747,1245,3735
Greatest Common Factor
We found the factors 12,3735 . The biggest common factor number is the GCF number.
So the greatest common factor 12,3735 is 3.
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 609/12, 631/3735?
Answer: LCM of Numerators as per given numbers 609/12, 631/3735 is
LCM of Numerators i.e. for 609,631 is 384279
GCF of denominators i.e. for 12,3735 is 3.
Thus, LCM of Fractions is 128093.Finally, LCM of Fractions for 609/12, 631/3735 is 128093.