Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 32/189, 3947/8022 quickly i.e. 126304/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 32/189, 3947/8022 is 126304/21.
LCM(32/189, 3947/8022) = 126304/21
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 32/189,3947/8022
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 32,3947
Least Common Multiple of Numerators i.e. LCM of 32,3947 is 126304.
GCF of Denominators means GCF of 189,8022 as per the given fractions.
GCF of 189,8022 is 21 as it is the largest common factor for these numbers.
Lets's calculate LCM of 32,3947
Given numbers has no common factors except 1. So, there LCM is their product i.e 126304
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 32,3947 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,3947) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,3947) x common factors =1 x 1 = 1
LCM(32,3947) = ( 32 × 3947 ) / 1
LCM(32,3947) = 126304 / 1
LCM(32,3947) = 126304
Lets's calculate GCF of 189,8022
3 | 189, 8022 |
7 | 63, 2674 |
9, 382 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126304/21
Therefore the LCM of Fractions 32/189,3947/8022 is 126304/21
Factors of 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Factors of 8022
List of positive integer factors of 8022 that divides 8022 without a remainder.
1,2,3,6,7,14,21,42,191,382,573,1146,1337,2674,4011,8022
Greatest Common Factor
We found the factors 189,8022 . The biggest common factor number is the GCF number.
So the greatest common factor 189,8022 is 21.
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 32/189, 3947/8022?
Answer: LCM of Numerators as per given numbers 32/189, 3947/8022 is
LCM of Numerators i.e. for 32,3947 is 126304
GCF of denominators i.e. for 189,8022 is 21.
Thus, LCM of Fractions is 126304/21.Finally, LCM of Fractions for 32/189, 3947/8022 is 126304/21.