Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/180, 165/448, 817/914 quickly i.e. 134805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/180, 165/448, 817/914 is 134805.
LCM(66/180, 165/448, 817/914) = 134805
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/180,165/448,817/914
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 66,165,817
Least Common Multiple of Numerators i.e. LCM of 66,165,817 is 269610.
GCF of Denominators means GCF of 180,448,914 as per the given fractions.
GCF of 180,448,914 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,165,817
3 | 66, 165, 817 |
11 | 22, 55, 817 |
2, 5, 817 |
∴ So the LCM of the given numbers is 3 x 11 x 2 x 5 x 817 = 269610
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 66,165,817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,165,817) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(66,165,817) x common factors =1 x 33 = 33
LCM(66,165,817) = ( 66 × 165 × 817 ) / 33
LCM(66,165,817) = 8897130 / 33
LCM(66,165,817) = 269610
Lets's calculate GCF of 180,448,914
2 | 180, 448, 914 |
90, 224, 457 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269610/2
Therefore the LCM of Fractions 66/180,165/448,817/914 is 134805
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Factors of 448
List of positive integer factors of 448 that divides 448 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,224,448
Factors of 914
List of positive integer factors of 914 that divides 914 without a remainder.
1,2,457,914
Greatest Common Factor
We found the factors 180,448,914 . The biggest common factor number is the GCF number.
So the greatest common factor 180,448,914 is 2.
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 66/180, 165/448, 817/914?
Answer: LCM of Numerators as per given numbers 66/180, 165/448, 817/914 is
LCM of Numerators i.e. for 66,165,817 is 269610
GCF of denominators i.e. for 180,448,914 is 2.
Thus, LCM of Fractions is 134805.Finally, LCM of Fractions for 66/180, 165/448, 817/914 is 134805.