Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 84/90, 46/18, 664/57 quickly i.e. 106904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 84/90, 46/18, 664/57 is 106904.
LCM(84/90, 46/18, 664/57) = 106904
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 84/90,46/18,664/57
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 84,46,664
Least Common Multiple of Numerators i.e. LCM of 84,46,664 is 320712.
GCF of Denominators means GCF of 90,18,57 as per the given fractions.
GCF of 90,18,57 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 84,46,664
2 | 84, 46, 664 |
2 | 42, 23, 332 |
21, 23, 166 |
∴ So the LCM of the given numbers is 2 x 2 x 21 x 23 x 166 = 320712
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 84,46,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,46,664) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(84,46,664) x common factors =2 x 4 = 8
LCM(84,46,664) = ( 84 × 46 × 664 ) / 8
LCM(84,46,664) = 2565696 / 8
LCM(84,46,664) = 320712
Lets's calculate GCF of 90,18,57
3 | 90, 18, 57 |
30, 6, 19 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320712/3
Therefore the LCM of Fractions 84/90,46/18,664/57 is 106904
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 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Greatest Common Factor
We found the factors 90,18,57 . The biggest common factor number is the GCF number.
So the greatest common factor 90,18,57 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 84/90, 46/18, 664/57?
Answer: LCM of Numerators as per given numbers 84/90, 46/18, 664/57 is
LCM of Numerators i.e. for 84,46,664 is 320712
GCF of denominators i.e. for 90,18,57 is 3.
Thus, LCM of Fractions is 106904.Finally, LCM of Fractions for 84/90, 46/18, 664/57 is 106904.