Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 104/426, 2310/9708 quickly i.e. 20020 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 104/426, 2310/9708 is 20020.
LCM(104/426, 2310/9708) = 20020
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 104/426,2310/9708
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 104,2310
Least Common Multiple of Numerators i.e. LCM of 104,2310 is 120120.
GCF of Denominators means GCF of 426,9708 as per the given fractions.
GCF of 426,9708 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 104,2310
2 | 104, 2310 |
52, 1155 |
∴ So the LCM of the given numbers is 2 x 52 x 1155 = 120120
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 104,2310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,2310) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(104,2310) x common factors =2 x 1 = 2
LCM(104,2310) = ( 104 × 2310 ) / 2
LCM(104,2310) = 240240 / 2
LCM(104,2310) = 120120
Lets's calculate GCF of 426,9708
2 | 426, 9708 |
3 | 213, 4854 |
71, 1618 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120120/6
Therefore the LCM of Fractions 104/426,2310/9708 is 20020
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 9708
List of positive integer factors of 9708 that divides 9708 without a remainder.
1,2,3,4,6,12,809,1618,2427,3236,4854,9708
Greatest Common Factor
We found the factors 426,9708 . The biggest common factor number is the GCF number.
So the greatest common factor 426,9708 is 6.
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 104/426, 2310/9708?
Answer: LCM of Numerators as per given numbers 104/426, 2310/9708 is
LCM of Numerators i.e. for 104,2310 is 120120
GCF of denominators i.e. for 426,9708 is 6.
Thus, LCM of Fractions is 20020.Finally, LCM of Fractions for 104/426, 2310/9708 is 20020.