Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/82, 91/747, 17/698 quickly i.e. 9282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/82, 91/747, 17/698 is 9282.
LCM(6/82, 91/747, 17/698) = 9282
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/82,91/747,17/698
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 6,91,17
Least Common Multiple of Numerators i.e. LCM of 6,91,17 is 9282.
GCF of Denominators means GCF of 82,747,698 as per the given fractions.
GCF of 82,747,698 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,91,17
Given numbers has no common factors except 1. So, there LCM is their product i.e 9282
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 6,91,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,91,17) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6,91,17) x common factors =1 x 1 = 1
LCM(6,91,17) = ( 6 × 91 × 17 ) / 1
LCM(6,91,17) = 9282 / 1
LCM(6,91,17) = 9282
Lets's calculate GCF of 82,747,698
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9282/1
Therefore the LCM of Fractions 6/82,91/747,17/698 is 9282
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 747
List of positive integer factors of 747 that divides 747 without a remainder.
1,3,9,83,249,747
Factors of 698
List of positive integer factors of 698 that divides 698 without a remainder.
1,2,349,698
Greatest Common Factor
We found the factors 82,747,698 . The biggest common factor number is the GCF number.
So the greatest common factor 82,747,698 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 6/82, 91/747, 17/698?
Answer: LCM of Numerators as per given numbers 6/82, 91/747, 17/698 is
LCM of Numerators i.e. for 6,91,17 is 9282
GCF of denominators i.e. for 82,747,698 is 1.
Thus, LCM of Fractions is 9282.Finally, LCM of Fractions for 6/82, 91/747, 17/698 is 9282.