Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 873/459, 4696/323 quickly i.e. 4099608/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 873/459, 4696/323 is 4099608/17.
LCM(873/459, 4696/323) = 4099608/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 873/459,4696/323
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 873,4696
Least Common Multiple of Numerators i.e. LCM of 873,4696 is 4099608.
GCF of Denominators means GCF of 459,323 as per the given fractions.
GCF of 459,323 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 873,4696
Given numbers has no common factors except 1. So, there LCM is their product i.e 4099608
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 873,4696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(873,4696) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(873,4696) x common factors =1 x 1 = 1
LCM(873,4696) = ( 873 × 4696 ) / 1
LCM(873,4696) = 4099608 / 1
LCM(873,4696) = 4099608
Lets's calculate GCF of 459,323
17 | 459, 323 |
27, 19 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4099608/17
Therefore the LCM of Fractions 873/459,4696/323 is 4099608/17
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
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 459,323 . The biggest common factor number is the GCF number.
So the greatest common factor 459,323 is 17.
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 873/459, 4696/323?
Answer: LCM of Numerators as per given numbers 873/459, 4696/323 is
LCM of Numerators i.e. for 873,4696 is 4099608
GCF of denominators i.e. for 459,323 is 17.
Thus, LCM of Fractions is 4099608/17.Finally, LCM of Fractions for 873/459, 4696/323 is 4099608/17.