Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/161, 17/202, 74/184 quickly i.e. 3774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/161, 17/202, 74/184 is 3774.
LCM(6/161, 17/202, 74/184) = 3774
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/161,17/202,74/184
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 6,17,74
Least Common Multiple of Numerators i.e. LCM of 6,17,74 is 3774.
GCF of Denominators means GCF of 161,202,184 as per the given fractions.
GCF of 161,202,184 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,17,74
2 | 6, 17, 74 |
3, 17, 37 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 37 = 3774
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 6,17,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,17,74) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(6,17,74) x common factors =1 x 2 = 2
LCM(6,17,74) = ( 6 × 17 × 74 ) / 2
LCM(6,17,74) = 7548 / 2
LCM(6,17,74) = 3774
Lets's calculate GCF of 161,202,184
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3774/1
Therefore the LCM of Fractions 6/161,17/202,74/184 is 3774
Factors of 161
List of positive integer factors of 161 that divides 161 without a remainder.
1,7,23,161
Factors of 202
List of positive integer factors of 202 that divides 202 without a remainder.
1,2,101,202
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 161,202,184 . The biggest common factor number is the GCF number.
So the greatest common factor 161,202,184 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 6/161, 17/202, 74/184?
Answer: LCM of Numerators as per given numbers 6/161, 17/202, 74/184 is
LCM of Numerators i.e. for 6,17,74 is 3774
GCF of denominators i.e. for 161,202,184 is 1.
Thus, LCM of Fractions is 3774.Finally, LCM of Fractions for 6/161, 17/202, 74/184 is 3774.