Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/796, 386/347, 659/586 quickly i.e. 2543740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/796, 386/347, 659/586 is 2543740.
LCM(20/796, 386/347, 659/586) = 2543740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/796,386/347,659/586
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 20,386,659
Least Common Multiple of Numerators i.e. LCM of 20,386,659 is 2543740.
GCF of Denominators means GCF of 796,347,586 as per the given fractions.
GCF of 796,347,586 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,386,659
2 | 20, 386, 659 |
10, 193, 659 |
∴ So the LCM of the given numbers is 2 x 10 x 193 x 659 = 2543740
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 20,386,659 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,386,659) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(20,386,659) x common factors =1 x 2 = 2
LCM(20,386,659) = ( 20 × 386 × 659 ) / 2
LCM(20,386,659) = 5087480 / 2
LCM(20,386,659) = 2543740
Lets's calculate GCF of 796,347,586
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2543740/1
Therefore the LCM of Fractions 20/796,386/347,659/586 is 2543740
Factors of 796
List of positive integer factors of 796 that divides 796 without a remainder.
1,2,4,199,398,796
Factors of 347
List of positive integer factors of 347 that divides 347 without a remainder.
1,347
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Greatest Common Factor
We found the factors 796,347,586 . The biggest common factor number is the GCF number.
So the greatest common factor 796,347,586 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 20/796, 386/347, 659/586?
Answer: LCM of Numerators as per given numbers 20/796, 386/347, 659/586 is
LCM of Numerators i.e. for 20,386,659 is 2543740
GCF of denominators i.e. for 796,347,586 is 1.
Thus, LCM of Fractions is 2543740.Finally, LCM of Fractions for 20/796, 386/347, 659/586 is 2543740.