Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7158/665, 7707/4716 quickly i.e. 18388902 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7158/665, 7707/4716 is 18388902.
LCM(7158/665, 7707/4716) = 18388902
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7158/665,7707/4716
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 7158,7707
Least Common Multiple of Numerators i.e. LCM of 7158,7707 is 18388902.
GCF of Denominators means GCF of 665,4716 as per the given fractions.
GCF of 665,4716 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7158,7707
3 | 7158, 7707 |
2386, 2569 |
∴ So the LCM of the given numbers is 3 x 2386 x 2569 = 18388902
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 7158,7707 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7158,7707) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(7158,7707) x common factors =3 x 1 = 3
LCM(7158,7707) = ( 7158 × 7707 ) / 3
LCM(7158,7707) = 55166706 / 3
LCM(7158,7707) = 18388902
Lets's calculate GCF of 665,4716
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18388902/1
Therefore the LCM of Fractions 7158/665,7707/4716 is 18388902
Factors of 665
List of positive integer factors of 665 that divides 665 without a remainder.
1,5,7,19,35,95,133,665
Factors of 4716
List of positive integer factors of 4716 that divides 4716 without a remainder.
1,2,3,4,6,9,12,18,36,131,262,393,524,786,1179,1572,2358,4716
Greatest Common Factor
We found the factors 665,4716 . The biggest common factor number is the GCF number.
So the greatest common factor 665,4716 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 7158/665, 7707/4716?
Answer: LCM of Numerators as per given numbers 7158/665, 7707/4716 is
LCM of Numerators i.e. for 7158,7707 is 18388902
GCF of denominators i.e. for 665,4716 is 1.
Thus, LCM of Fractions is 18388902.Finally, LCM of Fractions for 7158/665, 7707/4716 is 18388902.