Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 161/92, 184/43, 366/900 quickly i.e. 235704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 161/92, 184/43, 366/900 is 235704.
LCM(161/92, 184/43, 366/900) = 235704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 161/92,184/43,366/900
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 161,184,366
Least Common Multiple of Numerators i.e. LCM of 161,184,366 is 235704.
GCF of Denominators means GCF of 92,43,900 as per the given fractions.
GCF of 92,43,900 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 161,184,366
2 | 161, 184, 366 |
23 | 161, 92, 183 |
7, 4, 183 |
∴ So the LCM of the given numbers is 2 x 23 x 7 x 4 x 183 = 235704
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 161,184,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(161,184,366) = 1
common factors(in case of two or more numbers have common factors) = 46
GCF(161,184,366) x common factors =1 x 46 = 46
LCM(161,184,366) = ( 161 × 184 × 366 ) / 46
LCM(161,184,366) = 10842384 / 46
LCM(161,184,366) = 235704
Lets's calculate GCF of 92,43,900
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235704/1
Therefore the LCM of Fractions 161/92,184/43,366/900 is 235704
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 900
List of positive integer factors of 900 that divides 900 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900
Greatest Common Factor
We found the factors 92,43,900 . The biggest common factor number is the GCF number.
So the greatest common factor 92,43,900 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 161/92, 184/43, 366/900?
Answer: LCM of Numerators as per given numbers 161/92, 184/43, 366/900 is
LCM of Numerators i.e. for 161,184,366 is 235704
GCF of denominators i.e. for 92,43,900 is 1.
Thus, LCM of Fractions is 235704.Finally, LCM of Fractions for 161/92, 184/43, 366/900 is 235704.