Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/72, 22/90, 90/18, 92/189 quickly i.e. 80960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/72, 22/90, 90/18, 92/189 is 80960.
LCM(64/72, 22/90, 90/18, 92/189) = 80960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/72,22/90,90/18,92/189
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 64,22,90,92
Least Common Multiple of Numerators i.e. LCM of 64,22,90,92 is 728640.
GCF of Denominators means GCF of 72,90,18,189 as per the given fractions.
GCF of 72,90,18,189 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,22,90,92
2 | 64, 22, 90, 92 |
2 | 32, 11, 45, 46 |
16, 11, 45, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 16 x 11 x 45 x 23 = 728640
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 64,22,90,92 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,22,90,92) = 2
common factors(in case of two or more numbers have common factors) = 8
GCF(64,22,90,92) x common factors =2 x 8 = 16
LCM(64,22,90,92) = ( 64 × 22 × 90 × 92 ) / 16
LCM(64,22,90,92) = 11658240 / 16
LCM(64,22,90,92) = 728640
Lets's calculate GCF of 72,90,18,189
3 | 72, 90, 18, 189 |
3 | 24, 30, 6, 63 |
8, 10, 2, 21 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 728640/9
Therefore the LCM of Fractions 64/72,22/90,90/18,92/189 is 80960
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
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 189
List of positive integer factors of 189 that divides 189 without a remainder.
1,3,7,9,21,27,63,189
Greatest Common Factor
We found the factors 72,90,18,189 . The biggest common factor number is the GCF number.
So the greatest common factor 72,90,18,189 is 9.
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 64/72, 22/90, 90/18, 92/189?
Answer: LCM of Numerators as per given numbers 64/72, 22/90, 90/18, 92/189 is
LCM of Numerators i.e. for 64,22,90,92 is 728640
GCF of denominators i.e. for 72,90,18,189 is 9.
Thus, LCM of Fractions is 80960.Finally, LCM of Fractions for 64/72, 22/90, 90/18, 92/189 is 80960.