Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/841, 51/458, 992/323 quickly i.e. 50592 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/841, 51/458, 992/323 is 50592.
LCM(24/841, 51/458, 992/323) = 50592
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/841,51/458,992/323
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 24,51,992
Least Common Multiple of Numerators i.e. LCM of 24,51,992 is 50592.
GCF of Denominators means GCF of 841,458,323 as per the given fractions.
GCF of 841,458,323 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,51,992
2 | 24, 51, 992 |
2 | 12, 51, 496 |
2 | 6, 51, 248 |
3 | 3, 51, 124 |
1, 17, 124 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 17 x 124 = 50592
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 24,51,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,51,992) = 1
common factors(in case of two or more numbers have common factors) = 24
GCF(24,51,992) x common factors =1 x 24 = 24
LCM(24,51,992) = ( 24 × 51 × 992 ) / 24
LCM(24,51,992) = 1214208 / 24
LCM(24,51,992) = 50592
Lets's calculate GCF of 841,458,323
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50592/1
Therefore the LCM of Fractions 24/841,51/458,992/323 is 50592
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 458
List of positive integer factors of 458 that divides 458 without a remainder.
1,2,229,458
Factors of 323
List of positive integer factors of 323 that divides 323 without a remainder.
1,17,19,323
Greatest Common Factor
We found the factors 841,458,323 . The biggest common factor number is the GCF number.
So the greatest common factor 841,458,323 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 24/841, 51/458, 992/323?
Answer: LCM of Numerators as per given numbers 24/841, 51/458, 992/323 is
LCM of Numerators i.e. for 24,51,992 is 50592
GCF of denominators i.e. for 841,458,323 is 1.
Thus, LCM of Fractions is 50592.Finally, LCM of Fractions for 24/841, 51/458, 992/323 is 50592.