Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/310, 8094/1688 quickly i.e. 40470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/310, 8094/1688 is 40470.
LCM(20/310, 8094/1688) = 40470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/310,8094/1688
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 20,8094
Least Common Multiple of Numerators i.e. LCM of 20,8094 is 80940.
GCF of Denominators means GCF of 310,1688 as per the given fractions.
GCF of 310,1688 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,8094
2 | 20, 8094 |
10, 4047 |
∴ So the LCM of the given numbers is 2 x 10 x 4047 = 80940
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 20,8094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,8094) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(20,8094) x common factors =2 x 1 = 2
LCM(20,8094) = ( 20 × 8094 ) / 2
LCM(20,8094) = 161880 / 2
LCM(20,8094) = 80940
Lets's calculate GCF of 310,1688
2 | 310, 1688 |
155, 844 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80940/2
Therefore the LCM of Fractions 20/310,8094/1688 is 40470
Factors of 310
List of positive integer factors of 310 that divides 310 without a remainder.
1,2,5,10,31,62,155,310
Factors of 1688
List of positive integer factors of 1688 that divides 1688 without a remainder.
1,2,4,8,211,422,844,1688
Greatest Common Factor
We found the factors 310,1688 . The biggest common factor number is the GCF number.
So the greatest common factor 310,1688 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 20/310, 8094/1688?
Answer: LCM of Numerators as per given numbers 20/310, 8094/1688 is
LCM of Numerators i.e. for 20,8094 is 80940
GCF of denominators i.e. for 310,1688 is 2.
Thus, LCM of Fractions is 40470.Finally, LCM of Fractions for 20/310, 8094/1688 is 40470.