Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/120, 313/688, 969/806 quickly i.e. 1516485/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/120, 313/688, 969/806 is 1516485/2.
LCM(85/120, 313/688, 969/806) = 1516485/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/120,313/688,969/806
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 85,313,969
Least Common Multiple of Numerators i.e. LCM of 85,313,969 is 1516485.
GCF of Denominators means GCF of 120,688,806 as per the given fractions.
GCF of 120,688,806 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,313,969
17 | 85, 313, 969 |
5, 313, 57 |
∴ So the LCM of the given numbers is 17 x 5 x 313 x 57 = 1516485
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 85,313,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,313,969) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(85,313,969) x common factors =1 x 17 = 17
LCM(85,313,969) = ( 85 × 313 × 969 ) / 17
LCM(85,313,969) = 25780245 / 17
LCM(85,313,969) = 1516485
Lets's calculate GCF of 120,688,806
2 | 120, 688, 806 |
60, 344, 403 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1516485/2
Therefore the LCM of Fractions 85/120,313/688,969/806 is 1516485/2
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 688
List of positive integer factors of 688 that divides 688 without a remainder.
1,2,4,8,16,43,86,172,344,688
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 120,688,806 . The biggest common factor number is the GCF number.
So the greatest common factor 120,688,806 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 85/120, 313/688, 969/806?
Answer: LCM of Numerators as per given numbers 85/120, 313/688, 969/806 is
LCM of Numerators i.e. for 85,313,969 is 1516485
GCF of denominators i.e. for 120,688,806 is 2.
Thus, LCM of Fractions is 1516485/2.Finally, LCM of Fractions for 85/120, 313/688, 969/806 is 1516485/2.