Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/19, 66/90, 760/666 quickly i.e. 2232120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/19, 66/90, 760/666 is 2232120.
LCM(89/19, 66/90, 760/666) = 2232120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/19,66/90,760/666
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 89,66,760
Least Common Multiple of Numerators i.e. LCM of 89,66,760 is 2232120.
GCF of Denominators means GCF of 19,90,666 as per the given fractions.
GCF of 19,90,666 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,66,760
2 | 89, 66, 760 |
89, 33, 380 |
∴ So the LCM of the given numbers is 2 x 89 x 33 x 380 = 2232120
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 89,66,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,66,760) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(89,66,760) x common factors =1 x 2 = 2
LCM(89,66,760) = ( 89 × 66 × 760 ) / 2
LCM(89,66,760) = 4464240 / 2
LCM(89,66,760) = 2232120
Lets's calculate GCF of 19,90,666
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2232120/1
Therefore the LCM of Fractions 89/19,66/90,760/666 is 2232120
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 666
List of positive integer factors of 666 that divides 666 without a remainder.
1,2,3,6,9,18,37,74,111,222,333,666
Greatest Common Factor
We found the factors 19,90,666 . The biggest common factor number is the GCF number.
So the greatest common factor 19,90,666 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 89/19, 66/90, 760/666?
Answer: LCM of Numerators as per given numbers 89/19, 66/90, 760/666 is
LCM of Numerators i.e. for 89,66,760 is 2232120
GCF of denominators i.e. for 19,90,666 is 1.
Thus, LCM of Fractions is 2232120.Finally, LCM of Fractions for 89/19, 66/90, 760/666 is 2232120.