Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/791, 3544/7060 quickly i.e. 10632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/791, 3544/7060 is 10632.
LCM(12/791, 3544/7060) = 10632
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/791,3544/7060
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 12,3544
Least Common Multiple of Numerators i.e. LCM of 12,3544 is 10632.
GCF of Denominators means GCF of 791,7060 as per the given fractions.
GCF of 791,7060 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,3544
2 | 12, 3544 |
2 | 6, 1772 |
3, 886 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 886 = 10632
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 12,3544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,3544) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(12,3544) x common factors =4 x 1 = 4
LCM(12,3544) = ( 12 × 3544 ) / 4
LCM(12,3544) = 42528 / 4
LCM(12,3544) = 10632
Lets's calculate GCF of 791,7060
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10632/1
Therefore the LCM of Fractions 12/791,3544/7060 is 10632
Factors of 791
List of positive integer factors of 791 that divides 791 without a remainder.
1,7,113,791
Factors of 7060
List of positive integer factors of 7060 that divides 7060 without a remainder.
1,2,4,5,10,20,353,706,1412,1765,3530,7060
Greatest Common Factor
We found the factors 791,7060 . The biggest common factor number is the GCF number.
So the greatest common factor 791,7060 is 1.
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 12/791, 3544/7060?
Answer: LCM of Numerators as per given numbers 12/791, 3544/7060 is
LCM of Numerators i.e. for 12,3544 is 10632
GCF of denominators i.e. for 791,7060 is 1.
Thus, LCM of Fractions is 10632.Finally, LCM of Fractions for 12/791, 3544/7060 is 10632.