Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 719/662, 3625/2012 quickly i.e. 2606375/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 719/662, 3625/2012 is 2606375/2.
LCM(719/662, 3625/2012) = 2606375/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 719/662,3625/2012
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 719,3625
Least Common Multiple of Numerators i.e. LCM of 719,3625 is 2606375.
GCF of Denominators means GCF of 662,2012 as per the given fractions.
GCF of 662,2012 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 719,3625
Given numbers has no common factors except 1. So, there LCM is their product i.e 2606375
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 719,3625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,3625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(719,3625) x common factors =1 x 1 = 1
LCM(719,3625) = ( 719 × 3625 ) / 1
LCM(719,3625) = 2606375 / 1
LCM(719,3625) = 2606375
Lets's calculate GCF of 662,2012
2 | 662, 2012 |
331, 1006 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2606375/2
Therefore the LCM of Fractions 719/662,3625/2012 is 2606375/2
Factors of 662
List of positive integer factors of 662 that divides 662 without a remainder.
1,2,331,662
Factors of 2012
List of positive integer factors of 2012 that divides 2012 without a remainder.
1,2,4,503,1006,2012
Greatest Common Factor
We found the factors 662,2012 . The biggest common factor number is the GCF number.
So the greatest common factor 662,2012 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 719/662, 3625/2012?
Answer: LCM of Numerators as per given numbers 719/662, 3625/2012 is
LCM of Numerators i.e. for 719,3625 is 2606375
GCF of denominators i.e. for 662,2012 is 2.
Thus, LCM of Fractions is 2606375/2.Finally, LCM of Fractions for 719/662, 3625/2012 is 2606375/2.