Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3386/710, 3114/7306 quickly i.e. 2636001 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3386/710, 3114/7306 is 2636001.
LCM(3386/710, 3114/7306) = 2636001
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3386/710,3114/7306
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 3386,3114
Least Common Multiple of Numerators i.e. LCM of 3386,3114 is 5272002.
GCF of Denominators means GCF of 710,7306 as per the given fractions.
GCF of 710,7306 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3386,3114
2 | 3386, 3114 |
1693, 1557 |
∴ So the LCM of the given numbers is 2 x 1693 x 1557 = 5272002
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 3386,3114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3386,3114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(3386,3114) x common factors =2 x 1 = 2
LCM(3386,3114) = ( 3386 × 3114 ) / 2
LCM(3386,3114) = 10544004 / 2
LCM(3386,3114) = 5272002
Lets's calculate GCF of 710,7306
2 | 710, 7306 |
355, 3653 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5272002/2
Therefore the LCM of Fractions 3386/710,3114/7306 is 2636001
Factors of 710
List of positive integer factors of 710 that divides 710 without a remainder.
1,2,5,10,71,142,355,710
Factors of 7306
List of positive integer factors of 7306 that divides 7306 without a remainder.
1,2,13,26,281,562,3653,7306
Greatest Common Factor
We found the factors 710,7306 . The biggest common factor number is the GCF number.
So the greatest common factor 710,7306 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 3386/710, 3114/7306?
Answer: LCM of Numerators as per given numbers 3386/710, 3114/7306 is
LCM of Numerators i.e. for 3386,3114 is 5272002
GCF of denominators i.e. for 710,7306 is 2.
Thus, LCM of Fractions is 2636001.Finally, LCM of Fractions for 3386/710, 3114/7306 is 2636001.