Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8225/948, 2274/192 quickly i.e. 18703650/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8225/948, 2274/192 is 18703650/12.
LCM(8225/948, 2274/192) = 18703650/12
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8225/948,2274/192
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 8225,2274
Least Common Multiple of Numerators i.e. LCM of 8225,2274 is 18703650.
GCF of Denominators means GCF of 948,192 as per the given fractions.
GCF of 948,192 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8225,2274
Given numbers has no common factors except 1. So, there LCM is their product i.e 18703650
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 8225,2274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8225,2274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8225,2274) x common factors =1 x 1 = 1
LCM(8225,2274) = ( 8225 × 2274 ) / 1
LCM(8225,2274) = 18703650 / 1
LCM(8225,2274) = 18703650
Lets's calculate GCF of 948,192
2 | 948, 192 |
2 | 474, 96 |
3 | 237, 48 |
79, 16 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18703650/12
Therefore the LCM of Fractions 8225/948,2274/192 is 18703650/12
Factors of 948
List of positive integer factors of 948 that divides 948 without a remainder.
1,2,3,4,6,12,79,158,237,316,474,948
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Greatest Common Factor
We found the factors 948,192 . The biggest common factor number is the GCF number.
So the greatest common factor 948,192 is 12.
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 8225/948, 2274/192?
Answer: LCM of Numerators as per given numbers 8225/948, 2274/192 is
LCM of Numerators i.e. for 8225,2274 is 18703650
GCF of denominators i.e. for 948,192 is 12.
Thus, LCM of Fractions is 18703650/12.Finally, LCM of Fractions for 8225/948, 2274/192 is 18703650/12.