Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 385/588, 828/476 quickly i.e. 11385 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 385/588, 828/476 is 11385.
LCM(385/588, 828/476) = 11385
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 385/588,828/476
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 385,828
Least Common Multiple of Numerators i.e. LCM of 385,828 is 318780.
GCF of Denominators means GCF of 588,476 as per the given fractions.
GCF of 588,476 is 28 as it is the largest common factor for these numbers.
Lets's calculate LCM of 385,828
Given numbers has no common factors except 1. So, there LCM is their product i.e 318780
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 385,828 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,828) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(385,828) x common factors =1 x 1 = 1
LCM(385,828) = ( 385 × 828 ) / 1
LCM(385,828) = 318780 / 1
LCM(385,828) = 318780
Lets's calculate GCF of 588,476
2 | 588, 476 |
2 | 294, 238 |
7 | 147, 119 |
21, 17 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318780/28
Therefore the LCM of Fractions 385/588,828/476 is 11385
Factors of 588
List of positive integer factors of 588 that divides 588 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Factors of 476
List of positive integer factors of 476 that divides 476 without a remainder.
1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 588,476 . The biggest common factor number is the GCF number.
So the greatest common factor 588,476 is 28.
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 385/588, 828/476?
Answer: LCM of Numerators as per given numbers 385/588, 828/476 is
LCM of Numerators i.e. for 385,828 is 318780
GCF of denominators i.e. for 588,476 is 28.
Thus, LCM of Fractions is 11385.Finally, LCM of Fractions for 385/588, 828/476 is 11385.