Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 76/903, 31/313, 715/309 quickly i.e. 1684540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 76/903, 31/313, 715/309 is 1684540.
LCM(76/903, 31/313, 715/309) = 1684540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 76/903,31/313,715/309
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 76,31,715
Least Common Multiple of Numerators i.e. LCM of 76,31,715 is 1684540.
GCF of Denominators means GCF of 903,313,309 as per the given fractions.
GCF of 903,313,309 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 76,31,715
Given numbers has no common factors except 1. So, there LCM is their product i.e 1684540
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 76,31,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,31,715) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(76,31,715) x common factors =1 x 1 = 1
LCM(76,31,715) = ( 76 × 31 × 715 ) / 1
LCM(76,31,715) = 1684540 / 1
LCM(76,31,715) = 1684540
Lets's calculate GCF of 903,313,309
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1684540/1
Therefore the LCM of Fractions 76/903,31/313,715/309 is 1684540
Factors of 903
List of positive integer factors of 903 that divides 903 without a remainder.
1,3,7,21,43,129,301,903
Factors of 313
List of positive integer factors of 313 that divides 313 without a remainder.
1,313
Factors of 309
List of positive integer factors of 309 that divides 309 without a remainder.
1,3,103,309
Greatest Common Factor
We found the factors 903,313,309 . The biggest common factor number is the GCF number.
So the greatest common factor 903,313,309 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 76/903, 31/313, 715/309?
Answer: LCM of Numerators as per given numbers 76/903, 31/313, 715/309 is
LCM of Numerators i.e. for 76,31,715 is 1684540
GCF of denominators i.e. for 903,313,309 is 1.
Thus, LCM of Fractions is 1684540.Finally, LCM of Fractions for 76/903, 31/313, 715/309 is 1684540.