Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 386/27, 579/1602 quickly i.e. 1158/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 386/27, 579/1602 is 1158/9.
LCM(386/27, 579/1602) = 1158/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 386/27,579/1602
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 386,579
Least Common Multiple of Numerators i.e. LCM of 386,579 is 1158.
GCF of Denominators means GCF of 27,1602 as per the given fractions.
GCF of 27,1602 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 386,579
193 | 386, 579 |
2, 3 |
∴ So the LCM of the given numbers is 193 x 2 x 3 = 1158
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 386,579 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,579) = 193
common factors(in case of two or more numbers have common factors) = 1
GCF(386,579) x common factors =193 x 1 = 193
LCM(386,579) = ( 386 × 579 ) / 193
LCM(386,579) = 223494 / 193
LCM(386,579) = 1158
Lets's calculate GCF of 27,1602
3 | 27, 1602 |
3 | 9, 534 |
3, 178 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1158/9
Therefore the LCM of Fractions 386/27,579/1602 is 1158/9
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 1602
List of positive integer factors of 1602 that divides 1602 without a remainder.
1,2,3,6,9,18,89,178,267,534,801,1602
Greatest Common Factor
We found the factors 27,1602 . The biggest common factor number is the GCF number.
So the greatest common factor 27,1602 is 9.
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 386/27, 579/1602?
Answer: LCM of Numerators as per given numbers 386/27, 579/1602 is
LCM of Numerators i.e. for 386,579 is 1158
GCF of denominators i.e. for 27,1602 is 9.
Thus, LCM of Fractions is 1158/9.Finally, LCM of Fractions for 386/27, 579/1602 is 1158/9.