Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 712/90, 609/5908 quickly i.e. 216804 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 712/90, 609/5908 is 216804.
LCM(712/90, 609/5908) = 216804
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 712/90,609/5908
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 712,609
Least Common Multiple of Numerators i.e. LCM of 712,609 is 433608.
GCF of Denominators means GCF of 90,5908 as per the given fractions.
GCF of 90,5908 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 712,609
Given numbers has no common factors except 1. So, there LCM is their product i.e 433608
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 712,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(712,609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(712,609) x common factors =1 x 1 = 1
LCM(712,609) = ( 712 × 609 ) / 1
LCM(712,609) = 433608 / 1
LCM(712,609) = 433608
Lets's calculate GCF of 90,5908
2 | 90, 5908 |
45, 2954 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 433608/2
Therefore the LCM of Fractions 712/90,609/5908 is 216804
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 5908
List of positive integer factors of 5908 that divides 5908 without a remainder.
1,2,4,7,14,28,211,422,844,1477,2954,5908
Greatest Common Factor
We found the factors 90,5908 . The biggest common factor number is the GCF number.
So the greatest common factor 90,5908 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 712/90, 609/5908?
Answer: LCM of Numerators as per given numbers 712/90, 609/5908 is
LCM of Numerators i.e. for 712,609 is 433608
GCF of denominators i.e. for 90,5908 is 2.
Thus, LCM of Fractions is 216804.Finally, LCM of Fractions for 712/90, 609/5908 is 216804.