Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 858/24, 788/8326 quickly i.e. 169026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 858/24, 788/8326 is 169026.
LCM(858/24, 788/8326) = 169026
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 858/24,788/8326
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 858,788
Least Common Multiple of Numerators i.e. LCM of 858,788 is 338052.
GCF of Denominators means GCF of 24,8326 as per the given fractions.
GCF of 24,8326 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 858,788
2 | 858, 788 |
429, 394 |
∴ So the LCM of the given numbers is 2 x 429 x 394 = 338052
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 858,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(858,788) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(858,788) x common factors =2 x 1 = 2
LCM(858,788) = ( 858 × 788 ) / 2
LCM(858,788) = 676104 / 2
LCM(858,788) = 338052
Lets's calculate GCF of 24,8326
2 | 24, 8326 |
12, 4163 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 338052/2
Therefore the LCM of Fractions 858/24,788/8326 is 169026
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 8326
List of positive integer factors of 8326 that divides 8326 without a remainder.
1,2,23,46,181,362,4163,8326
Greatest Common Factor
We found the factors 24,8326 . The biggest common factor number is the GCF number.
So the greatest common factor 24,8326 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 858/24, 788/8326?
Answer: LCM of Numerators as per given numbers 858/24, 788/8326 is
LCM of Numerators i.e. for 858,788 is 338052
GCF of denominators i.e. for 24,8326 is 2.
Thus, LCM of Fractions is 169026.Finally, LCM of Fractions for 858/24, 788/8326 is 169026.