Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9224/22, 1245/184 quickly i.e. 5741940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9224/22, 1245/184 is 5741940.
LCM(9224/22, 1245/184) = 5741940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9224/22,1245/184
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 9224,1245
Least Common Multiple of Numerators i.e. LCM of 9224,1245 is 11483880.
GCF of Denominators means GCF of 22,184 as per the given fractions.
GCF of 22,184 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9224,1245
Given numbers has no common factors except 1. So, there LCM is their product i.e 11483880
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 9224,1245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9224,1245) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9224,1245) x common factors =1 x 1 = 1
LCM(9224,1245) = ( 9224 × 1245 ) / 1
LCM(9224,1245) = 11483880 / 1
LCM(9224,1245) = 11483880
Lets's calculate GCF of 22,184
2 | 22, 184 |
11, 92 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11483880/2
Therefore the LCM of Fractions 9224/22,1245/184 is 5741940
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 22,184 . The biggest common factor number is the GCF number.
So the greatest common factor 22,184 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 9224/22, 1245/184?
Answer: LCM of Numerators as per given numbers 9224/22, 1245/184 is
LCM of Numerators i.e. for 9224,1245 is 11483880
GCF of denominators i.e. for 22,184 is 2.
Thus, LCM of Fractions is 5741940.Finally, LCM of Fractions for 9224/22, 1245/184 is 5741940.