Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 170/33, 815/30, 481/276 quickly i.e. 13328510/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 170/33, 815/30, 481/276 is 13328510/3.
LCM(170/33, 815/30, 481/276) = 13328510/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 170/33,815/30,481/276
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 170,815,481
Least Common Multiple of Numerators i.e. LCM of 170,815,481 is 13328510.
GCF of Denominators means GCF of 33,30,276 as per the given fractions.
GCF of 33,30,276 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 170,815,481
5 | 170, 815, 481 |
34, 163, 481 |
∴ So the LCM of the given numbers is 5 x 34 x 163 x 481 = 13328510
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 170,815,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(170,815,481) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(170,815,481) x common factors =1 x 5 = 5
LCM(170,815,481) = ( 170 × 815 × 481 ) / 5
LCM(170,815,481) = 66642550 / 5
LCM(170,815,481) = 13328510
Lets's calculate GCF of 33,30,276
3 | 33, 30, 276 |
11, 10, 92 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13328510/3
Therefore the LCM of Fractions 170/33,815/30,481/276 is 13328510/3
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 276
List of positive integer factors of 276 that divides 276 without a remainder.
1,2,3,4,6,12,23,46,69,92,138,276
Greatest Common Factor
We found the factors 33,30,276 . The biggest common factor number is the GCF number.
So the greatest common factor 33,30,276 is 3.
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 170/33, 815/30, 481/276?
Answer: LCM of Numerators as per given numbers 170/33, 815/30, 481/276 is
LCM of Numerators i.e. for 170,815,481 is 13328510
GCF of denominators i.e. for 33,30,276 is 3.
Thus, LCM of Fractions is 13328510/3.Finally, LCM of Fractions for 170/33, 815/30, 481/276 is 13328510/3.