Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/93, 27/86, 847/371 quickly i.e. 571725 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/93, 27/86, 847/371 is 571725.
LCM(75/93, 27/86, 847/371) = 571725
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/93,27/86,847/371
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 75,27,847
Least Common Multiple of Numerators i.e. LCM of 75,27,847 is 571725.
GCF of Denominators means GCF of 93,86,371 as per the given fractions.
GCF of 93,86,371 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,27,847
3 | 75, 27, 847 |
25, 9, 847 |
∴ So the LCM of the given numbers is 3 x 25 x 9 x 847 = 571725
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 75,27,847 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,27,847) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(75,27,847) x common factors =1 x 3 = 3
LCM(75,27,847) = ( 75 × 27 × 847 ) / 3
LCM(75,27,847) = 1715175 / 3
LCM(75,27,847) = 571725
Lets's calculate GCF of 93,86,371
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 571725/1
Therefore the LCM of Fractions 75/93,27/86,847/371 is 571725
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Greatest Common Factor
We found the factors 93,86,371 . The biggest common factor number is the GCF number.
So the greatest common factor 93,86,371 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 75/93, 27/86, 847/371?
Answer: LCM of Numerators as per given numbers 75/93, 27/86, 847/371 is
LCM of Numerators i.e. for 75,27,847 is 571725
GCF of denominators i.e. for 93,86,371 is 1.
Thus, LCM of Fractions is 571725.Finally, LCM of Fractions for 75/93, 27/86, 847/371 is 571725.