Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/646, 1717/7048 quickly i.e. 80699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/646, 1717/7048 is 80699.
LCM(94/646, 1717/7048) = 80699
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/646,1717/7048
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 94,1717
Least Common Multiple of Numerators i.e. LCM of 94,1717 is 161398.
GCF of Denominators means GCF of 646,7048 as per the given fractions.
GCF of 646,7048 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,1717
Given numbers has no common factors except 1. So, there LCM is their product i.e 161398
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 94,1717 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,1717) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(94,1717) x common factors =1 x 1 = 1
LCM(94,1717) = ( 94 × 1717 ) / 1
LCM(94,1717) = 161398 / 1
LCM(94,1717) = 161398
Lets's calculate GCF of 646,7048
2 | 646, 7048 |
323, 3524 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 161398/2
Therefore the LCM of Fractions 94/646,1717/7048 is 80699
Factors of 646
List of positive integer factors of 646 that divides 646 without a remainder.
1,2,17,19,34,38,323,646
Factors of 7048
List of positive integer factors of 7048 that divides 7048 without a remainder.
1,2,4,8,881,1762,3524,7048
Greatest Common Factor
We found the factors 646,7048 . The biggest common factor number is the GCF number.
So the greatest common factor 646,7048 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 94/646, 1717/7048?
Answer: LCM of Numerators as per given numbers 94/646, 1717/7048 is
LCM of Numerators i.e. for 94,1717 is 161398
GCF of denominators i.e. for 646,7048 is 2.
Thus, LCM of Fractions is 80699.Finally, LCM of Fractions for 94/646, 1717/7048 is 80699.