Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6252/774, 7759/6259 quickly i.e. 48509268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6252/774, 7759/6259 is 48509268.
LCM(6252/774, 7759/6259) = 48509268
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6252/774,7759/6259
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 6252,7759
Least Common Multiple of Numerators i.e. LCM of 6252,7759 is 48509268.
GCF of Denominators means GCF of 774,6259 as per the given fractions.
GCF of 774,6259 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6252,7759
Given numbers has no common factors except 1. So, there LCM is their product i.e 48509268
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 6252,7759 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6252,7759) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6252,7759) x common factors =1 x 1 = 1
LCM(6252,7759) = ( 6252 × 7759 ) / 1
LCM(6252,7759) = 48509268 / 1
LCM(6252,7759) = 48509268
Lets's calculate GCF of 774,6259
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48509268/1
Therefore the LCM of Fractions 6252/774,7759/6259 is 48509268
Factors of 774
List of positive integer factors of 774 that divides 774 without a remainder.
1,2,3,6,9,18,43,86,129,258,387,774
Factors of 6259
List of positive integer factors of 6259 that divides 6259 without a remainder.
1,11,569,6259
Greatest Common Factor
We found the factors 774,6259 . The biggest common factor number is the GCF number.
So the greatest common factor 774,6259 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 6252/774, 7759/6259?
Answer: LCM of Numerators as per given numbers 6252/774, 7759/6259 is
LCM of Numerators i.e. for 6252,7759 is 48509268
GCF of denominators i.e. for 774,6259 is 1.
Thus, LCM of Fractions is 48509268.Finally, LCM of Fractions for 6252/774, 7759/6259 is 48509268.