Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 436/12, 709/5990 quickly i.e. 154562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 436/12, 709/5990 is 154562.
LCM(436/12, 709/5990) = 154562
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 436/12,709/5990
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 436,709
Least Common Multiple of Numerators i.e. LCM of 436,709 is 309124.
GCF of Denominators means GCF of 12,5990 as per the given fractions.
GCF of 12,5990 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 436,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 309124
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 436,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(436,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(436,709) x common factors =1 x 1 = 1
LCM(436,709) = ( 436 × 709 ) / 1
LCM(436,709) = 309124 / 1
LCM(436,709) = 309124
Lets's calculate GCF of 12,5990
2 | 12, 5990 |
6, 2995 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 309124/2
Therefore the LCM of Fractions 436/12,709/5990 is 154562
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 5990
List of positive integer factors of 5990 that divides 5990 without a remainder.
1,2,5,10,599,1198,2995,5990
Greatest Common Factor
We found the factors 12,5990 . The biggest common factor number is the GCF number.
So the greatest common factor 12,5990 is 2.
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 436/12, 709/5990?
Answer: LCM of Numerators as per given numbers 436/12, 709/5990 is
LCM of Numerators i.e. for 436,709 is 309124
GCF of denominators i.e. for 12,5990 is 2.
Thus, LCM of Fractions is 154562.Finally, LCM of Fractions for 436/12, 709/5990 is 154562.