Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 933/79, 313/25, 610/165 quickly i.e. 178137690 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 933/79, 313/25, 610/165 is 178137690.
LCM(933/79, 313/25, 610/165) = 178137690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 933/79,313/25,610/165
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 933,313,610
Least Common Multiple of Numerators i.e. LCM of 933,313,610 is 178137690.
GCF of Denominators means GCF of 79,25,165 as per the given fractions.
GCF of 79,25,165 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 933,313,610
Given numbers has no common factors except 1. So, there LCM is their product i.e 178137690
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 933,313,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(933,313,610) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(933,313,610) x common factors =1 x 1 = 1
LCM(933,313,610) = ( 933 × 313 × 610 ) / 1
LCM(933,313,610) = 178137690 / 1
LCM(933,313,610) = 178137690
Lets's calculate GCF of 79,25,165
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178137690/1
Therefore the LCM of Fractions 933/79,313/25,610/165 is 178137690
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Greatest Common Factor
We found the factors 79,25,165 . The biggest common factor number is the GCF number.
So the greatest common factor 79,25,165 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 933/79, 313/25, 610/165?
Answer: LCM of Numerators as per given numbers 933/79, 313/25, 610/165 is
LCM of Numerators i.e. for 933,313,610 is 178137690
GCF of denominators i.e. for 79,25,165 is 1.
Thus, LCM of Fractions is 178137690.Finally, LCM of Fractions for 933/79, 313/25, 610/165 is 178137690.