Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 716/478, 665/712 quickly i.e. 238070 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 716/478, 665/712 is 238070.
LCM(716/478, 665/712) = 238070
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 716/478,665/712
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 716,665
Least Common Multiple of Numerators i.e. LCM of 716,665 is 476140.
GCF of Denominators means GCF of 478,712 as per the given fractions.
GCF of 478,712 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 716,665
Given numbers has no common factors except 1. So, there LCM is their product i.e 476140
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 716,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,665) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(716,665) x common factors =1 x 1 = 1
LCM(716,665) = ( 716 × 665 ) / 1
LCM(716,665) = 476140 / 1
LCM(716,665) = 476140
Lets's calculate GCF of 478,712
2 | 478, 712 |
239, 356 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 476140/2
Therefore the LCM of Fractions 716/478,665/712 is 238070
Factors of 478
List of positive integer factors of 478 that divides 478 without a remainder.
1,2,239,478
Factors of 712
List of positive integer factors of 712 that divides 712 without a remainder.
1,2,4,8,89,178,356,712
Greatest Common Factor
We found the factors 478,712 . The biggest common factor number is the GCF number.
So the greatest common factor 478,712 is 2.
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 716/478, 665/712?
Answer: LCM of Numerators as per given numbers 716/478, 665/712 is
LCM of Numerators i.e. for 716,665 is 476140
GCF of denominators i.e. for 478,712 is 2.
Thus, LCM of Fractions is 238070.Finally, LCM of Fractions for 716/478, 665/712 is 238070.