Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5947/22, 5924/324 quickly i.e. 17615014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5947/22, 5924/324 is 17615014.
LCM(5947/22, 5924/324) = 17615014
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5947/22,5924/324
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 5947,5924
Least Common Multiple of Numerators i.e. LCM of 5947,5924 is 35230028.
GCF of Denominators means GCF of 22,324 as per the given fractions.
GCF of 22,324 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5947,5924
Given numbers has no common factors except 1. So, there LCM is their product i.e 35230028
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 5947,5924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5947,5924) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5947,5924) x common factors =1 x 1 = 1
LCM(5947,5924) = ( 5947 × 5924 ) / 1
LCM(5947,5924) = 35230028 / 1
LCM(5947,5924) = 35230028
Lets's calculate GCF of 22,324
2 | 22, 324 |
11, 162 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35230028/2
Therefore the LCM of Fractions 5947/22,5924/324 is 17615014
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 324
List of positive integer factors of 324 that divides 324 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Greatest Common Factor
We found the factors 22,324 . The biggest common factor number is the GCF number.
So the greatest common factor 22,324 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 5947/22, 5924/324?
Answer: LCM of Numerators as per given numbers 5947/22, 5924/324 is
LCM of Numerators i.e. for 5947,5924 is 35230028
GCF of denominators i.e. for 22,324 is 2.
Thus, LCM of Fractions is 17615014.Finally, LCM of Fractions for 5947/22, 5924/324 is 17615014.