Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/25, 55/55, 17/497 quickly i.e. 91630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/25, 55/55, 17/497 is 91630.
LCM(98/25, 55/55, 17/497) = 91630
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/25,55/55,17/497
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 98,55,17
Least Common Multiple of Numerators i.e. LCM of 98,55,17 is 91630.
GCF of Denominators means GCF of 25,55,497 as per the given fractions.
GCF of 25,55,497 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,55,17
Given numbers has no common factors except 1. So, there LCM is their product i.e 91630
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 98,55,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,55,17) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,55,17) x common factors =1 x 1 = 1
LCM(98,55,17) = ( 98 × 55 × 17 ) / 1
LCM(98,55,17) = 91630 / 1
LCM(98,55,17) = 91630
Lets's calculate GCF of 25,55,497
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91630/1
Therefore the LCM of Fractions 98/25,55/55,17/497 is 91630
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Greatest Common Factor
We found the factors 25,55,497 . The biggest common factor number is the GCF number.
So the greatest common factor 25,55,497 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 98/25, 55/55, 17/497?
Answer: LCM of Numerators as per given numbers 98/25, 55/55, 17/497 is
LCM of Numerators i.e. for 98,55,17 is 91630
GCF of denominators i.e. for 25,55,497 is 1.
Thus, LCM of Fractions is 91630.Finally, LCM of Fractions for 98/25, 55/55, 17/497 is 91630.