Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/715, 8152/8078 quickly i.e. 252712 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/715, 8152/8078 is 252712.
LCM(62/715, 8152/8078) = 252712
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/715,8152/8078
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 62,8152
Least Common Multiple of Numerators i.e. LCM of 62,8152 is 252712.
GCF of Denominators means GCF of 715,8078 as per the given fractions.
GCF of 715,8078 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,8152
2 | 62, 8152 |
31, 4076 |
∴ So the LCM of the given numbers is 2 x 31 x 4076 = 252712
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 62,8152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,8152) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(62,8152) x common factors =2 x 1 = 2
LCM(62,8152) = ( 62 × 8152 ) / 2
LCM(62,8152) = 505424 / 2
LCM(62,8152) = 252712
Lets's calculate GCF of 715,8078
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252712/1
Therefore the LCM of Fractions 62/715,8152/8078 is 252712
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
Factors of 8078
List of positive integer factors of 8078 that divides 8078 without a remainder.
1,2,7,14,577,1154,4039,8078
Greatest Common Factor
We found the factors 715,8078 . The biggest common factor number is the GCF number.
So the greatest common factor 715,8078 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 62/715, 8152/8078?
Answer: LCM of Numerators as per given numbers 62/715, 8152/8078 is
LCM of Numerators i.e. for 62,8152 is 252712
GCF of denominators i.e. for 715,8078 is 1.
Thus, LCM of Fractions is 252712.Finally, LCM of Fractions for 62/715, 8152/8078 is 252712.