Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/352, 94/255, 35/352 quickly i.e. 29610 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/352, 94/255, 35/352 is 29610.
LCM(9/352, 94/255, 35/352) = 29610
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/352,94/255,35/352
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 9,94,35
Least Common Multiple of Numerators i.e. LCM of 9,94,35 is 29610.
GCF of Denominators means GCF of 352,255,352 as per the given fractions.
GCF of 352,255,352 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,94,35
Given numbers has no common factors except 1. So, there LCM is their product i.e 29610
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 9,94,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,94,35) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9,94,35) x common factors =1 x 1 = 1
LCM(9,94,35) = ( 9 × 94 × 35 ) / 1
LCM(9,94,35) = 29610 / 1
LCM(9,94,35) = 29610
Lets's calculate GCF of 352,255,352
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29610/1
Therefore the LCM of Fractions 9/352,94/255,35/352 is 29610
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Factors of 255
List of positive integer factors of 255 that divides 255 without a remainder.
1,3,5,15,17,51,85,255
Factors of 352
List of positive integer factors of 352 that divides 352 without a remainder.
1,2,4,8,11,16,22,32,44,88,176,352
Greatest Common Factor
We found the factors 352,255,352 . The biggest common factor number is the GCF number.
So the greatest common factor 352,255,352 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 9/352, 94/255, 35/352?
Answer: LCM of Numerators as per given numbers 9/352, 94/255, 35/352 is
LCM of Numerators i.e. for 9,94,35 is 29610
GCF of denominators i.e. for 352,255,352 is 1.
Thus, LCM of Fractions is 29610.Finally, LCM of Fractions for 9/352, 94/255, 35/352 is 29610.