Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/40, 794/24, 798/794 quickly i.e. 1108821 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/40, 794/24, 798/794 is 1108821.
LCM(98/40, 794/24, 798/794) = 1108821
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/40,794/24,798/794
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 98,794,798
Least Common Multiple of Numerators i.e. LCM of 98,794,798 is 2217642.
GCF of Denominators means GCF of 40,24,794 as per the given fractions.
GCF of 40,24,794 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,794,798
2 | 98, 794, 798 |
7 | 49, 397, 399 |
7, 397, 57 |
∴ So the LCM of the given numbers is 2 x 7 x 7 x 397 x 57 = 2217642
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 98,794,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,794,798) = 2
common factors(in case of two or more numbers have common factors) = 14
GCF(98,794,798) x common factors =2 x 14 = 28
LCM(98,794,798) = ( 98 × 794 × 798 ) / 28
LCM(98,794,798) = 62093976 / 28
LCM(98,794,798) = 2217642
Lets's calculate GCF of 40,24,794
2 | 40, 24, 794 |
20, 12, 397 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2217642/2
Therefore the LCM of Fractions 98/40,794/24,798/794 is 1108821
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 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 40,24,794 . The biggest common factor number is the GCF number.
So the greatest common factor 40,24,794 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 98/40, 794/24, 798/794?
Answer: LCM of Numerators as per given numbers 98/40, 794/24, 798/794 is
LCM of Numerators i.e. for 98,794,798 is 2217642
GCF of denominators i.e. for 40,24,794 is 2.
Thus, LCM of Fractions is 1108821.Finally, LCM of Fractions for 98/40, 794/24, 798/794 is 1108821.