Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8251/773, 1305/1599 quickly i.e. 10767555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8251/773, 1305/1599 is 10767555.
LCM(8251/773, 1305/1599) = 10767555
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8251/773,1305/1599
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 8251,1305
Least Common Multiple of Numerators i.e. LCM of 8251,1305 is 10767555.
GCF of Denominators means GCF of 773,1599 as per the given fractions.
GCF of 773,1599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8251,1305
Given numbers has no common factors except 1. So, there LCM is their product i.e 10767555
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 8251,1305 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8251,1305) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8251,1305) x common factors =1 x 1 = 1
LCM(8251,1305) = ( 8251 × 1305 ) / 1
LCM(8251,1305) = 10767555 / 1
LCM(8251,1305) = 10767555
Lets's calculate GCF of 773,1599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10767555/1
Therefore the LCM of Fractions 8251/773,1305/1599 is 10767555
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Factors of 1599
List of positive integer factors of 1599 that divides 1599 without a remainder.
1,3,13,39,41,123,533,1599
Greatest Common Factor
We found the factors 773,1599 . The biggest common factor number is the GCF number.
So the greatest common factor 773,1599 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 8251/773, 1305/1599?
Answer: LCM of Numerators as per given numbers 8251/773, 1305/1599 is
LCM of Numerators i.e. for 8251,1305 is 10767555
GCF of denominators i.e. for 773,1599 is 1.
Thus, LCM of Fractions is 10767555.Finally, LCM of Fractions for 8251/773, 1305/1599 is 10767555.