Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9495/238, 9958/255 quickly i.e. 94551210/17 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9495/238, 9958/255 is 94551210/17.
LCM(9495/238, 9958/255) = 94551210/17
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9495/238,9958/255
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 9495,9958
Least Common Multiple of Numerators i.e. LCM of 9495,9958 is 94551210.
GCF of Denominators means GCF of 238,255 as per the given fractions.
GCF of 238,255 is 17 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9495,9958
Given numbers has no common factors except 1. So, there LCM is their product i.e 94551210
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 9495,9958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9495,9958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9495,9958) x common factors =1 x 1 = 1
LCM(9495,9958) = ( 9495 × 9958 ) / 1
LCM(9495,9958) = 94551210 / 1
LCM(9495,9958) = 94551210
Lets's calculate GCF of 238,255
17 | 238, 255 |
14, 15 |
∴ So the GCF of the given numbers is 17 = 17
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94551210/17
Therefore the LCM of Fractions 9495/238,9958/255 is 94551210/17
Factors of 238
List of positive integer factors of 238 that divides 238 without a remainder.
1,2,7,14,17,34,119,238
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Greatest Common Factor
We found the factors 238,255 . The biggest common factor number is the GCF number.
So the greatest common factor 238,255 is 17.
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 9495/238, 9958/255?
Answer: LCM of Numerators as per given numbers 9495/238, 9958/255 is
LCM of Numerators i.e. for 9495,9958 is 94551210
GCF of denominators i.e. for 238,255 is 17.
Thus, LCM of Fractions is 94551210/17.Finally, LCM of Fractions for 9495/238, 9958/255 is 94551210/17.