Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/98, 17/40, 91/596 quickly i.e. 10829 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/98, 17/40, 91/596 is 10829.
LCM(98/98, 17/40, 91/596) = 10829
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/98,17/40,91/596
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 98,17,91
Least Common Multiple of Numerators i.e. LCM of 98,17,91 is 21658.
GCF of Denominators means GCF of 98,40,596 as per the given fractions.
GCF of 98,40,596 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,17,91
7 | 98, 17, 91 |
14, 17, 13 |
∴ So the LCM of the given numbers is 7 x 14 x 17 x 13 = 21658
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 98,17,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,17,91) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(98,17,91) x common factors =1 x 7 = 7
LCM(98,17,91) = ( 98 × 17 × 91 ) / 7
LCM(98,17,91) = 151606 / 7
LCM(98,17,91) = 21658
Lets's calculate GCF of 98,40,596
2 | 98, 40, 596 |
49, 20, 298 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21658/2
Therefore the LCM of Fractions 98/98,17/40,91/596 is 10829
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 596
List of positive integer factors of 596 that divides 596 without a remainder.
1,2,4,149,298,596
Greatest Common Factor
We found the factors 98,40,596 . The biggest common factor number is the GCF number.
So the greatest common factor 98,40,596 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 98/98, 17/40, 91/596?
Answer: LCM of Numerators as per given numbers 98/98, 17/40, 91/596 is
LCM of Numerators i.e. for 98,17,91 is 21658
GCF of denominators i.e. for 98,40,596 is 2.
Thus, LCM of Fractions is 10829.Finally, LCM of Fractions for 98/98, 17/40, 91/596 is 10829.