Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 23/161, 258/681, 484/981 quickly i.e. 1436028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 23/161, 258/681, 484/981 is 1436028.
LCM(23/161, 258/681, 484/981) = 1436028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 23/161,258/681,484/981
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 23,258,484
Least Common Multiple of Numerators i.e. LCM of 23,258,484 is 1436028.
GCF of Denominators means GCF of 161,681,981 as per the given fractions.
GCF of 161,681,981 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 23,258,484
2 | 23, 258, 484 |
23, 129, 242 |
∴ So the LCM of the given numbers is 2 x 23 x 129 x 242 = 1436028
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 23,258,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(23,258,484) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(23,258,484) x common factors =1 x 2 = 2
LCM(23,258,484) = ( 23 × 258 × 484 ) / 2
LCM(23,258,484) = 2872056 / 2
LCM(23,258,484) = 1436028
Lets's calculate GCF of 161,681,981
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1436028/1
Therefore the LCM of Fractions 23/161,258/681,484/981 is 1436028
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 681
List of positive integer factors of 681 that divides 681 without a remainder.
1,3,227,681
Factors of 981
List of positive integer factors of 981 that divides 981 without a remainder.
1,3,9,109,327,981
Greatest Common Factor
We found the factors 161,681,981 . The biggest common factor number is the GCF number.
So the greatest common factor 161,681,981 is 1.
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 23/161, 258/681, 484/981?
Answer: LCM of Numerators as per given numbers 23/161, 258/681, 484/981 is
LCM of Numerators i.e. for 23,258,484 is 1436028
GCF of denominators i.e. for 161,681,981 is 1.
Thus, LCM of Fractions is 1436028.Finally, LCM of Fractions for 23/161, 258/681, 484/981 is 1436028.