Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1728/420, 3032/293 quickly i.e. 654912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1728/420, 3032/293 is 654912.
LCM(1728/420, 3032/293) = 654912
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1728/420,3032/293
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 1728,3032
Least Common Multiple of Numerators i.e. LCM of 1728,3032 is 654912.
GCF of Denominators means GCF of 420,293 as per the given fractions.
GCF of 420,293 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1728,3032
2 | 1728, 3032 |
2 | 864, 1516 |
2 | 432, 758 |
216, 379 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 216 x 379 = 654912
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 1728,3032 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1728,3032) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(1728,3032) x common factors =8 x 1 = 8
LCM(1728,3032) = ( 1728 × 3032 ) / 8
LCM(1728,3032) = 5239296 / 8
LCM(1728,3032) = 654912
Lets's calculate GCF of 420,293
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 654912/1
Therefore the LCM of Fractions 1728/420,3032/293 is 654912
Factors of 420
List of positive integer factors of 420 that divides 420 without a remainder.
1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420
Factors of 293
List of positive integer factors of 293 that divides 293 without a remainder.
1,293
Greatest Common Factor
We found the factors 420,293 . The biggest common factor number is the GCF number.
So the greatest common factor 420,293 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 1728/420, 3032/293?
Answer: LCM of Numerators as per given numbers 1728/420, 3032/293 is
LCM of Numerators i.e. for 1728,3032 is 654912
GCF of denominators i.e. for 420,293 is 1.
Thus, LCM of Fractions is 654912.Finally, LCM of Fractions for 1728/420, 3032/293 is 654912.