Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/416, 13/622, 394/715 quickly i.e. 496834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/416, 13/622, 394/715 is 496834.
LCM(97/416, 13/622, 394/715) = 496834
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/416,13/622,394/715
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 97,13,394
Least Common Multiple of Numerators i.e. LCM of 97,13,394 is 496834.
GCF of Denominators means GCF of 416,622,715 as per the given fractions.
GCF of 416,622,715 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,13,394
Given numbers has no common factors except 1. So, there LCM is their product i.e 496834
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 97,13,394 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,13,394) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(97,13,394) x common factors =1 x 1 = 1
LCM(97,13,394) = ( 97 × 13 × 394 ) / 1
LCM(97,13,394) = 496834 / 1
LCM(97,13,394) = 496834
Lets's calculate GCF of 416,622,715
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 496834/1
Therefore the LCM of Fractions 97/416,13/622,394/715 is 496834
Factors of 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Factors of 715
List of positive integer factors of 715 that divides 715 without a remainder.
1,5,11,13,55,65,143,715
Greatest Common Factor
We found the factors 416,622,715 . The biggest common factor number is the GCF number.
So the greatest common factor 416,622,715 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 97/416, 13/622, 394/715?
Answer: LCM of Numerators as per given numbers 97/416, 13/622, 394/715 is
LCM of Numerators i.e. for 97,13,394 is 496834
GCF of denominators i.e. for 416,622,715 is 1.
Thus, LCM of Fractions is 496834.Finally, LCM of Fractions for 97/416, 13/622, 394/715 is 496834.