Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/846, 24/794, 694/794 quickly i.e. 20820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/846, 24/794, 694/794 is 20820.
LCM(20/846, 24/794, 694/794) = 20820
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/846,24/794,694/794
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 20,24,694
Least Common Multiple of Numerators i.e. LCM of 20,24,694 is 41640.
GCF of Denominators means GCF of 846,794,794 as per the given fractions.
GCF of 846,794,794 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,24,694
2 | 20, 24, 694 |
2 | 10, 12, 347 |
5, 6, 347 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 6 x 347 = 41640
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 20,24,694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,24,694) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(20,24,694) x common factors =2 x 4 = 8
LCM(20,24,694) = ( 20 × 24 × 694 ) / 8
LCM(20,24,694) = 333120 / 8
LCM(20,24,694) = 41640
Lets's calculate GCF of 846,794,794
2 | 846, 794, 794 |
423, 397, 397 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41640/2
Therefore the LCM of Fractions 20/846,24/794,694/794 is 20820
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Greatest Common Factor
We found the factors 846,794,794 . The biggest common factor number is the GCF number.
So the greatest common factor 846,794,794 is 2.
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 20/846, 24/794, 694/794?
Answer: LCM of Numerators as per given numbers 20/846, 24/794, 694/794 is
LCM of Numerators i.e. for 20,24,694 is 41640
GCF of denominators i.e. for 846,794,794 is 2.
Thus, LCM of Fractions is 20820.Finally, LCM of Fractions for 20/846, 24/794, 694/794 is 20820.