Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/661, 12/192, 146/913 quickly i.e. 13140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/661, 12/192, 146/913 is 13140.
LCM(90/661, 12/192, 146/913) = 13140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/661,12/192,146/913
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 90,12,146
Least Common Multiple of Numerators i.e. LCM of 90,12,146 is 13140.
GCF of Denominators means GCF of 661,192,913 as per the given fractions.
GCF of 661,192,913 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,12,146
2 | 90, 12, 146 |
3 | 45, 6, 73 |
15, 2, 73 |
∴ So the LCM of the given numbers is 2 x 3 x 15 x 2 x 73 = 13140
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 90,12,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,12,146) = 2
common factors(in case of two or more numbers have common factors) = 6
GCF(90,12,146) x common factors =2 x 6 = 12
LCM(90,12,146) = ( 90 × 12 × 146 ) / 12
LCM(90,12,146) = 157680 / 12
LCM(90,12,146) = 13140
Lets's calculate GCF of 661,192,913
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13140/1
Therefore the LCM of Fractions 90/661,12/192,146/913 is 13140
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Factors of 192
List of positive integer factors of 192 that divides 192 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,192
Factors of 913
List of positive integer factors of 913 that divides 913 without a remainder.
1,11,83,913
Greatest Common Factor
We found the factors 661,192,913 . The biggest common factor number is the GCF number.
So the greatest common factor 661,192,913 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 90/661, 12/192, 146/913?
Answer: LCM of Numerators as per given numbers 90/661, 12/192, 146/913 is
LCM of Numerators i.e. for 90,12,146 is 13140
GCF of denominators i.e. for 661,192,913 is 1.
Thus, LCM of Fractions is 13140.Finally, LCM of Fractions for 90/661, 12/192, 146/913 is 13140.