Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7924/585, 7682/8751 quickly i.e. 30436084/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7924/585, 7682/8751 is 30436084/3.
LCM(7924/585, 7682/8751) = 30436084/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7924/585,7682/8751
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 7924,7682
Least Common Multiple of Numerators i.e. LCM of 7924,7682 is 30436084.
GCF of Denominators means GCF of 585,8751 as per the given fractions.
GCF of 585,8751 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7924,7682
2 | 7924, 7682 |
3962, 3841 |
∴ So the LCM of the given numbers is 2 x 3962 x 3841 = 30436084
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 7924,7682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7924,7682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7924,7682) x common factors =2 x 1 = 2
LCM(7924,7682) = ( 7924 × 7682 ) / 2
LCM(7924,7682) = 60872168 / 2
LCM(7924,7682) = 30436084
Lets's calculate GCF of 585,8751
3 | 585, 8751 |
195, 2917 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30436084/3
Therefore the LCM of Fractions 7924/585,7682/8751 is 30436084/3
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 8751
List of positive integer factors of 8751 that divides 8751 without a remainder.
1,3,2917,8751
Greatest Common Factor
We found the factors 585,8751 . The biggest common factor number is the GCF number.
So the greatest common factor 585,8751 is 3.
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 7924/585, 7682/8751?
Answer: LCM of Numerators as per given numbers 7924/585, 7682/8751 is
LCM of Numerators i.e. for 7924,7682 is 30436084
GCF of denominators i.e. for 585,8751 is 3.
Thus, LCM of Fractions is 30436084/3.Finally, LCM of Fractions for 7924/585, 7682/8751 is 30436084/3.