Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 190/456, 2136/6366 quickly i.e. 33820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 190/456, 2136/6366 is 33820.
LCM(190/456, 2136/6366) = 33820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 190/456,2136/6366
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 190,2136
Least Common Multiple of Numerators i.e. LCM of 190,2136 is 202920.
GCF of Denominators means GCF of 456,6366 as per the given fractions.
GCF of 456,6366 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 190,2136
2 | 190, 2136 |
95, 1068 |
∴ So the LCM of the given numbers is 2 x 95 x 1068 = 202920
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 190,2136 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,2136) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,2136) x common factors =2 x 1 = 2
LCM(190,2136) = ( 190 × 2136 ) / 2
LCM(190,2136) = 405840 / 2
LCM(190,2136) = 202920
Lets's calculate GCF of 456,6366
2 | 456, 6366 |
3 | 228, 3183 |
76, 1061 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 202920/6
Therefore the LCM of Fractions 190/456,2136/6366 is 33820
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Factors of 6366
List of positive integer factors of 6366 that divides 6366 without a remainder.
1,2,3,6,1061,2122,3183,6366
Greatest Common Factor
We found the factors 456,6366 . The biggest common factor number is the GCF number.
So the greatest common factor 456,6366 is 6.
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 190/456, 2136/6366?
Answer: LCM of Numerators as per given numbers 190/456, 2136/6366 is
LCM of Numerators i.e. for 190,2136 is 202920
GCF of denominators i.e. for 456,6366 is 6.
Thus, LCM of Fractions is 33820.Finally, LCM of Fractions for 190/456, 2136/6366 is 33820.