Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 868/23, 248/7406 quickly i.e. 1736/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 868/23, 248/7406 is 1736/23.
LCM(868/23, 248/7406) = 1736/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 868/23,248/7406
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 868,248
Least Common Multiple of Numerators i.e. LCM of 868,248 is 1736.
GCF of Denominators means GCF of 23,7406 as per the given fractions.
GCF of 23,7406 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 868,248
2 | 868, 248 |
2 | 434, 124 |
31 | 217, 62 |
7, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 31 x 7 x 2 = 1736
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 868,248 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(868,248) = 124
common factors(in case of two or more numbers have common factors) = 1
GCF(868,248) x common factors =124 x 1 = 124
LCM(868,248) = ( 868 × 248 ) / 124
LCM(868,248) = 215264 / 124
LCM(868,248) = 1736
Lets's calculate GCF of 23,7406
23 | 23, 7406 |
1, 322 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1736/23
Therefore the LCM of Fractions 868/23,248/7406 is 1736/23
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 7406
List of positive integer factors of 7406 that divides 7406 without a remainder.
1,2,7,14,23,46,161,322,529,1058,3703,7406
Greatest Common Factor
We found the factors 23,7406 . The biggest common factor number is the GCF number.
So the greatest common factor 23,7406 is 23.
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 868/23, 248/7406?
Answer: LCM of Numerators as per given numbers 868/23, 248/7406 is
LCM of Numerators i.e. for 868,248 is 1736
GCF of denominators i.e. for 23,7406 is 23.
Thus, LCM of Fractions is 1736/23.Finally, LCM of Fractions for 868/23, 248/7406 is 1736/23.