Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4032/886, 1740/549 quickly i.e. 584640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4032/886, 1740/549 is 584640.
LCM(4032/886, 1740/549) = 584640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4032/886,1740/549
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 4032,1740
Least Common Multiple of Numerators i.e. LCM of 4032,1740 is 584640.
GCF of Denominators means GCF of 886,549 as per the given fractions.
GCF of 886,549 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4032,1740
2 | 4032, 1740 |
2 | 2016, 870 |
3 | 1008, 435 |
336, 145 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 336 x 145 = 584640
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 4032,1740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4032,1740) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(4032,1740) x common factors =12 x 1 = 12
LCM(4032,1740) = ( 4032 × 1740 ) / 12
LCM(4032,1740) = 7015680 / 12
LCM(4032,1740) = 584640
Lets's calculate GCF of 886,549
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 584640/1
Therefore the LCM of Fractions 4032/886,1740/549 is 584640
Factors of 886
List of positive integer factors of 886 that divides 886 without a remainder.
1,2,443,886
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Greatest Common Factor
We found the factors 886,549 . The biggest common factor number is the GCF number.
So the greatest common factor 886,549 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 4032/886, 1740/549?
Answer: LCM of Numerators as per given numbers 4032/886, 1740/549 is
LCM of Numerators i.e. for 4032,1740 is 584640
GCF of denominators i.e. for 886,549 is 1.
Thus, LCM of Fractions is 584640.Finally, LCM of Fractions for 4032/886, 1740/549 is 584640.