Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 368/66, 335/1188 quickly i.e. 123280/66 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 368/66, 335/1188 is 123280/66.
LCM(368/66, 335/1188) = 123280/66
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 368/66,335/1188
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 368,335
Least Common Multiple of Numerators i.e. LCM of 368,335 is 123280.
GCF of Denominators means GCF of 66,1188 as per the given fractions.
GCF of 66,1188 is 66 as it is the largest common factor for these numbers.
Lets's calculate LCM of 368,335
Given numbers has no common factors except 1. So, there LCM is their product i.e 123280
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 368,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(368,335) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(368,335) x common factors =1 x 1 = 1
LCM(368,335) = ( 368 × 335 ) / 1
LCM(368,335) = 123280 / 1
LCM(368,335) = 123280
Lets's calculate GCF of 66,1188
2 | 66, 1188 |
3 | 33, 594 |
11 | 11, 198 |
1, 18 |
∴ So the GCF of the given numbers is 2 x 3 x 11 = 66
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123280/66
Therefore the LCM of Fractions 368/66,335/1188 is 123280/66
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 1188
List of positive integer factors of 1188 that divides 1188 without a remainder.
1,2,3,4,6,9,11,12,18,22,27,33,36,44,54,66,99,108,132,198,297,396,594,1188
Greatest Common Factor
We found the factors 66,1188 . The biggest common factor number is the GCF number.
So the greatest common factor 66,1188 is 66.
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 368/66, 335/1188?
Answer: LCM of Numerators as per given numbers 368/66, 335/1188 is
LCM of Numerators i.e. for 368,335 is 123280
GCF of denominators i.e. for 66,1188 is 66.
Thus, LCM of Fractions is 123280/66.Finally, LCM of Fractions for 368/66, 335/1188 is 123280/66.