Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/307, 60/990, 918/451 quickly i.e. 100980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/307, 60/990, 918/451 is 100980.
LCM(66/307, 60/990, 918/451) = 100980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/307,60/990,918/451
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 66,60,918
Least Common Multiple of Numerators i.e. LCM of 66,60,918 is 100980.
GCF of Denominators means GCF of 307,990,451 as per the given fractions.
GCF of 307,990,451 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,60,918
2 | 66, 60, 918 |
3 | 33, 30, 459 |
11, 10, 153 |
∴ So the LCM of the given numbers is 2 x 3 x 11 x 10 x 153 = 100980
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 66,60,918 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,60,918) = 6
common factors(in case of two or more numbers have common factors) = 6
GCF(66,60,918) x common factors =6 x 6 = 36
LCM(66,60,918) = ( 66 × 60 × 918 ) / 36
LCM(66,60,918) = 3635280 / 36
LCM(66,60,918) = 100980
Lets's calculate GCF of 307,990,451
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100980/1
Therefore the LCM of Fractions 66/307,60/990,918/451 is 100980
Factors of 307
List of positive integer factors of 307 that divides 307 without a remainder.
1,307
Factors of 990
List of positive integer factors of 990 that divides 990 without a remainder.
1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Greatest Common Factor
We found the factors 307,990,451 . The biggest common factor number is the GCF number.
So the greatest common factor 307,990,451 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 66/307, 60/990, 918/451?
Answer: LCM of Numerators as per given numbers 66/307, 60/990, 918/451 is
LCM of Numerators i.e. for 66,60,918 is 100980
GCF of denominators i.e. for 307,990,451 is 1.
Thus, LCM of Fractions is 100980.Finally, LCM of Fractions for 66/307, 60/990, 918/451 is 100980.