Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 772/763, 6528/3418 quickly i.e. 1259904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 772/763, 6528/3418 is 1259904.
LCM(772/763, 6528/3418) = 1259904
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 772/763,6528/3418
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 772,6528
Least Common Multiple of Numerators i.e. LCM of 772,6528 is 1259904.
GCF of Denominators means GCF of 763,3418 as per the given fractions.
GCF of 763,3418 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 772,6528
2 | 772, 6528 |
2 | 386, 3264 |
193, 1632 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 1632 = 1259904
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 772,6528 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,6528) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,6528) x common factors =4 x 1 = 4
LCM(772,6528) = ( 772 × 6528 ) / 4
LCM(772,6528) = 5039616 / 4
LCM(772,6528) = 1259904
Lets's calculate GCF of 763,3418
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1259904/1
Therefore the LCM of Fractions 772/763,6528/3418 is 1259904
Factors of 763
List of positive integer factors of 763 that divides 763 without a remainder.
1,7,109,763
Factors of 3418
List of positive integer factors of 3418 that divides 3418 without a remainder.
1,2,1709,3418
Greatest Common Factor
We found the factors 763,3418 . The biggest common factor number is the GCF number.
So the greatest common factor 763,3418 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 772/763, 6528/3418?
Answer: LCM of Numerators as per given numbers 772/763, 6528/3418 is
LCM of Numerators i.e. for 772,6528 is 1259904
GCF of denominators i.e. for 763,3418 is 1.
Thus, LCM of Fractions is 1259904.Finally, LCM of Fractions for 772/763, 6528/3418 is 1259904.