Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/22, 181/46, 641/902 quickly i.e. 2204399 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/22, 181/46, 641/902 is 2204399.
LCM(38/22, 181/46, 641/902) = 2204399
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/22,181/46,641/902
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 38,181,641
Least Common Multiple of Numerators i.e. LCM of 38,181,641 is 4408798.
GCF of Denominators means GCF of 22,46,902 as per the given fractions.
GCF of 22,46,902 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,181,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 4408798
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 38,181,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,181,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(38,181,641) x common factors =1 x 1 = 1
LCM(38,181,641) = ( 38 × 181 × 641 ) / 1
LCM(38,181,641) = 4408798 / 1
LCM(38,181,641) = 4408798
Lets's calculate GCF of 22,46,902
2 | 22, 46, 902 |
11, 23, 451 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4408798/2
Therefore the LCM of Fractions 38/22,181/46,641/902 is 2204399
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 902
List of positive integer factors of 902 that divides 902 without a remainder.
1,2,11,22,41,82,451,902
Greatest Common Factor
We found the factors 22,46,902 . The biggest common factor number is the GCF number.
So the greatest common factor 22,46,902 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 38/22, 181/46, 641/902?
Answer: LCM of Numerators as per given numbers 38/22, 181/46, 641/902 is
LCM of Numerators i.e. for 38,181,641 is 4408798
GCF of denominators i.e. for 22,46,902 is 2.
Thus, LCM of Fractions is 2204399.Finally, LCM of Fractions for 38/22, 181/46, 641/902 is 2204399.