Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 235/138, 9506/411 quickly i.e. 2233910/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 235/138, 9506/411 is 2233910/3.
LCM(235/138, 9506/411) = 2233910/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 235/138,9506/411
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 235,9506
Least Common Multiple of Numerators i.e. LCM of 235,9506 is 2233910.
GCF of Denominators means GCF of 138,411 as per the given fractions.
GCF of 138,411 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 235,9506
Given numbers has no common factors except 1. So, there LCM is their product i.e 2233910
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 235,9506 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(235,9506) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(235,9506) x common factors =1 x 1 = 1
LCM(235,9506) = ( 235 × 9506 ) / 1
LCM(235,9506) = 2233910 / 1
LCM(235,9506) = 2233910
Lets's calculate GCF of 138,411
3 | 138, 411 |
46, 137 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2233910/3
Therefore the LCM of Fractions 235/138,9506/411 is 2233910/3
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Greatest Common Factor
We found the factors 138,411 . The biggest common factor number is the GCF number.
So the greatest common factor 138,411 is 3.
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 235/138, 9506/411?
Answer: LCM of Numerators as per given numbers 235/138, 9506/411 is
LCM of Numerators i.e. for 235,9506 is 2233910
GCF of denominators i.e. for 138,411 is 3.
Thus, LCM of Fractions is 2233910/3.Finally, LCM of Fractions for 235/138, 9506/411 is 2233910/3.