Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 168/33, 554/1673 quickly i.e. 46536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 168/33, 554/1673 is 46536.
LCM(168/33, 554/1673) = 46536
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 168/33,554/1673
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 168,554
Least Common Multiple of Numerators i.e. LCM of 168,554 is 46536.
GCF of Denominators means GCF of 33,1673 as per the given fractions.
GCF of 33,1673 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 168,554
2 | 168, 554 |
84, 277 |
∴ So the LCM of the given numbers is 2 x 84 x 277 = 46536
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 168,554 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,554) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(168,554) x common factors =2 x 1 = 2
LCM(168,554) = ( 168 × 554 ) / 2
LCM(168,554) = 93072 / 2
LCM(168,554) = 46536
Lets's calculate GCF of 33,1673
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46536/1
Therefore the LCM of Fractions 168/33,554/1673 is 46536
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 1673
List of positive integer factors of 1673 that divides 1673 without a remainder.
1,7,239,1673
Greatest Common Factor
We found the factors 33,1673 . The biggest common factor number is the GCF number.
So the greatest common factor 33,1673 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 168/33, 554/1673?
Answer: LCM of Numerators as per given numbers 168/33, 554/1673 is
LCM of Numerators i.e. for 168,554 is 46536
GCF of denominators i.e. for 33,1673 is 1.
Thus, LCM of Fractions is 46536.Finally, LCM of Fractions for 168/33, 554/1673 is 46536.