Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3795/165, 8783/706 quickly i.e. 33331485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3795/165, 8783/706 is 33331485.
LCM(3795/165, 8783/706) = 33331485
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3795/165,8783/706
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 3795,8783
Least Common Multiple of Numerators i.e. LCM of 3795,8783 is 33331485.
GCF of Denominators means GCF of 165,706 as per the given fractions.
GCF of 165,706 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3795,8783
Given numbers has no common factors except 1. So, there LCM is their product i.e 33331485
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 3795,8783 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3795,8783) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3795,8783) x common factors =1 x 1 = 1
LCM(3795,8783) = ( 3795 × 8783 ) / 1
LCM(3795,8783) = 33331485 / 1
LCM(3795,8783) = 33331485
Lets's calculate GCF of 165,706
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33331485/1
Therefore the LCM of Fractions 3795/165,8783/706 is 33331485
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Greatest Common Factor
We found the factors 165,706 . The biggest common factor number is the GCF number.
So the greatest common factor 165,706 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 3795/165, 8783/706?
Answer: LCM of Numerators as per given numbers 3795/165, 8783/706 is
LCM of Numerators i.e. for 3795,8783 is 33331485
GCF of denominators i.e. for 165,706 is 1.
Thus, LCM of Fractions is 33331485.Finally, LCM of Fractions for 3795/165, 8783/706 is 33331485.