Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 909/85, 163/34, 733/88 quickly i.e. 108606411 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 909/85, 163/34, 733/88 is 108606411.
LCM(909/85, 163/34, 733/88) = 108606411
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 909/85,163/34,733/88
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 909,163,733
Least Common Multiple of Numerators i.e. LCM of 909,163,733 is 108606411.
GCF of Denominators means GCF of 85,34,88 as per the given fractions.
GCF of 85,34,88 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 909,163,733
Given numbers has no common factors except 1. So, there LCM is their product i.e 108606411
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 909,163,733 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,163,733) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,163,733) x common factors =1 x 1 = 1
LCM(909,163,733) = ( 909 × 163 × 733 ) / 1
LCM(909,163,733) = 108606411 / 1
LCM(909,163,733) = 108606411
Lets's calculate GCF of 85,34,88
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108606411/1
Therefore the LCM of Fractions 909/85,163/34,733/88 is 108606411
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Greatest Common Factor
We found the factors 85,34,88 . The biggest common factor number is the GCF number.
So the greatest common factor 85,34,88 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 909/85, 163/34, 733/88?
Answer: LCM of Numerators as per given numbers 909/85, 163/34, 733/88 is
LCM of Numerators i.e. for 909,163,733 is 108606411
GCF of denominators i.e. for 85,34,88 is 1.
Thus, LCM of Fractions is 108606411.Finally, LCM of Fractions for 909/85, 163/34, 733/88 is 108606411.