Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7062/782, 3755/396 quickly i.e. 13258905 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7062/782, 3755/396 is 13258905.
LCM(7062/782, 3755/396) = 13258905
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7062/782,3755/396
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 7062,3755
Least Common Multiple of Numerators i.e. LCM of 7062,3755 is 26517810.
GCF of Denominators means GCF of 782,396 as per the given fractions.
GCF of 782,396 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7062,3755
Given numbers has no common factors except 1. So, there LCM is their product i.e 26517810
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 7062,3755 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7062,3755) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7062,3755) x common factors =1 x 1 = 1
LCM(7062,3755) = ( 7062 × 3755 ) / 1
LCM(7062,3755) = 26517810 / 1
LCM(7062,3755) = 26517810
Lets's calculate GCF of 782,396
2 | 782, 396 |
391, 198 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26517810/2
Therefore the LCM of Fractions 7062/782,3755/396 is 13258905
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Greatest Common Factor
We found the factors 782,396 . The biggest common factor number is the GCF number.
So the greatest common factor 782,396 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 7062/782, 3755/396?
Answer: LCM of Numerators as per given numbers 7062/782, 3755/396 is
LCM of Numerators i.e. for 7062,3755 is 26517810
GCF of denominators i.e. for 782,396 is 2.
Thus, LCM of Fractions is 13258905.Finally, LCM of Fractions for 7062/782, 3755/396 is 13258905.