Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/200, 12/388, 148/922 quickly i.e. 9102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/200, 12/388, 148/922 is 9102.
LCM(41/200, 12/388, 148/922) = 9102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/200,12/388,148/922
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 41,12,148
Least Common Multiple of Numerators i.e. LCM of 41,12,148 is 18204.
GCF of Denominators means GCF of 200,388,922 as per the given fractions.
GCF of 200,388,922 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,12,148
2 | 41, 12, 148 |
2 | 41, 6, 74 |
41, 3, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 41 x 3 x 37 = 18204
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 41,12,148 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,12,148) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(41,12,148) x common factors =1 x 4 = 4
LCM(41,12,148) = ( 41 × 12 × 148 ) / 4
LCM(41,12,148) = 72816 / 4
LCM(41,12,148) = 18204
Lets's calculate GCF of 200,388,922
2 | 200, 388, 922 |
100, 194, 461 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18204/2
Therefore the LCM of Fractions 41/200,12/388,148/922 is 9102
Factors of 200
List of positive integer factors of 200 that divides 200 without a remainder.
1,2,4,5,8,10,20,25,40,50,100,200
Factors of 388
List of positive integer factors of 388 that divides 388 without a remainder.
1,2,4,97,194,388
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Greatest Common Factor
We found the factors 200,388,922 . The biggest common factor number is the GCF number.
So the greatest common factor 200,388,922 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 41/200, 12/388, 148/922?
Answer: LCM of Numerators as per given numbers 41/200, 12/388, 148/922 is
LCM of Numerators i.e. for 41,12,148 is 18204
GCF of denominators i.e. for 200,388,922 is 2.
Thus, LCM of Fractions is 9102.Finally, LCM of Fractions for 41/200, 12/388, 148/922 is 9102.