Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 28/473, 5790/5379 quickly i.e. 81060/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 28/473, 5790/5379 is 81060/11.
LCM(28/473, 5790/5379) = 81060/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 28/473,5790/5379
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 28,5790
Least Common Multiple of Numerators i.e. LCM of 28,5790 is 81060.
GCF of Denominators means GCF of 473,5379 as per the given fractions.
GCF of 473,5379 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 28,5790
2 | 28, 5790 |
14, 2895 |
∴ So the LCM of the given numbers is 2 x 14 x 2895 = 81060
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 28,5790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,5790) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(28,5790) x common factors =2 x 1 = 2
LCM(28,5790) = ( 28 × 5790 ) / 2
LCM(28,5790) = 162120 / 2
LCM(28,5790) = 81060
Lets's calculate GCF of 473,5379
11 | 473, 5379 |
43, 489 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81060/11
Therefore the LCM of Fractions 28/473,5790/5379 is 81060/11
Factors of 473
List of positive integer factors of 473 that divides 473 without a remainder.
1,11,43,473
Factors of 5379
List of positive integer factors of 5379 that divides 5379 without a remainder.
1,3,11,33,163,489,1793,5379
Greatest Common Factor
We found the factors 473,5379 . The biggest common factor number is the GCF number.
So the greatest common factor 473,5379 is 11.
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 28/473, 5790/5379?
Answer: LCM of Numerators as per given numbers 28/473, 5790/5379 is
LCM of Numerators i.e. for 28,5790 is 81060
GCF of denominators i.e. for 473,5379 is 11.
Thus, LCM of Fractions is 81060/11.Finally, LCM of Fractions for 28/473, 5790/5379 is 81060/11.