Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 751/39, 205/8192 quickly i.e. 153955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 751/39, 205/8192 is 153955.
LCM(751/39, 205/8192) = 153955
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 751/39,205/8192
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 751,205
Least Common Multiple of Numerators i.e. LCM of 751,205 is 153955.
GCF of Denominators means GCF of 39,8192 as per the given fractions.
GCF of 39,8192 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 751,205
Given numbers has no common factors except 1. So, there LCM is their product i.e 153955
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 751,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(751,205) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(751,205) x common factors =1 x 1 = 1
LCM(751,205) = ( 751 × 205 ) / 1
LCM(751,205) = 153955 / 1
LCM(751,205) = 153955
Lets's calculate GCF of 39,8192
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 153955/1
Therefore the LCM of Fractions 751/39,205/8192 is 153955
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 8192
List of positive integer factors of 8192 that divides 8192 without a remainder.
1,2,4,8,16,32,64,128,256,512,1024,2048,4096,8192
Greatest Common Factor
We found the factors 39,8192 . The biggest common factor number is the GCF number.
So the greatest common factor 39,8192 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 751/39, 205/8192?
Answer: LCM of Numerators as per given numbers 751/39, 205/8192 is
LCM of Numerators i.e. for 751,205 is 153955
GCF of denominators i.e. for 39,8192 is 1.
Thus, LCM of Fractions is 153955.Finally, LCM of Fractions for 751/39, 205/8192 is 153955.