Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 284/134, 9067/795 quickly i.e. 2575028 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 284/134, 9067/795 is 2575028.
LCM(284/134, 9067/795) = 2575028
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 284/134,9067/795
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 284,9067
Least Common Multiple of Numerators i.e. LCM of 284,9067 is 2575028.
GCF of Denominators means GCF of 134,795 as per the given fractions.
GCF of 134,795 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 284,9067
Given numbers has no common factors except 1. So, there LCM is their product i.e 2575028
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 284,9067 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,9067) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,9067) x common factors =1 x 1 = 1
LCM(284,9067) = ( 284 × 9067 ) / 1
LCM(284,9067) = 2575028 / 1
LCM(284,9067) = 2575028
Lets's calculate GCF of 134,795
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2575028/1
Therefore the LCM of Fractions 284/134,9067/795 is 2575028
Factors of 134
List of positive integer factors of 134 that divides 134 without a remainder.
1,2,67,134
Factors of 795
List of positive integer factors of 795 that divides 795 without a remainder.
1,3,5,15,53,159,265,795
Greatest Common Factor
We found the factors 134,795 . The biggest common factor number is the GCF number.
So the greatest common factor 134,795 is 1.
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 284/134, 9067/795?
Answer: LCM of Numerators as per given numbers 284/134, 9067/795 is
LCM of Numerators i.e. for 284,9067 is 2575028
GCF of denominators i.e. for 134,795 is 1.
Thus, LCM of Fractions is 2575028.Finally, LCM of Fractions for 284/134, 9067/795 is 2575028.