Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/301, 85/369, 806/693 quickly i.e. 1849770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/301, 85/369, 806/693 is 1849770.
LCM(54/301, 85/369, 806/693) = 1849770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/301,85/369,806/693
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 54,85,806
Least Common Multiple of Numerators i.e. LCM of 54,85,806 is 1849770.
GCF of Denominators means GCF of 301,369,693 as per the given fractions.
GCF of 301,369,693 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,85,806
2 | 54, 85, 806 |
27, 85, 403 |
∴ So the LCM of the given numbers is 2 x 27 x 85 x 403 = 1849770
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 54,85,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,85,806) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(54,85,806) x common factors =1 x 2 = 2
LCM(54,85,806) = ( 54 × 85 × 806 ) / 2
LCM(54,85,806) = 3699540 / 2
LCM(54,85,806) = 1849770
Lets's calculate GCF of 301,369,693
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1849770/1
Therefore the LCM of Fractions 54/301,85/369,806/693 is 1849770
Factors of 301
List of positive integer factors of 301 that divides 301 without a remainder.
1,7,43,301
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 693
List of positive integer factors of 693 that divides 693 without a remainder.
1,3,7,9,11,21,33,63,77,99,231,693
Greatest Common Factor
We found the factors 301,369,693 . The biggest common factor number is the GCF number.
So the greatest common factor 301,369,693 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 54/301, 85/369, 806/693?
Answer: LCM of Numerators as per given numbers 54/301, 85/369, 806/693 is
LCM of Numerators i.e. for 54,85,806 is 1849770
GCF of denominators i.e. for 301,369,693 is 1.
Thus, LCM of Fractions is 1849770.Finally, LCM of Fractions for 54/301, 85/369, 806/693 is 1849770.