Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 851/14, 271/15, 393/816 quickly i.e. 90634053 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 851/14, 271/15, 393/816 is 90634053.
LCM(851/14, 271/15, 393/816) = 90634053
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 851/14,271/15,393/816
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 851,271,393
Least Common Multiple of Numerators i.e. LCM of 851,271,393 is 90634053.
GCF of Denominators means GCF of 14,15,816 as per the given fractions.
GCF of 14,15,816 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 851,271,393
Given numbers has no common factors except 1. So, there LCM is their product i.e 90634053
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 851,271,393 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(851,271,393) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(851,271,393) x common factors =1 x 1 = 1
LCM(851,271,393) = ( 851 × 271 × 393 ) / 1
LCM(851,271,393) = 90634053 / 1
LCM(851,271,393) = 90634053
Lets's calculate GCF of 14,15,816
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90634053/1
Therefore the LCM of Fractions 851/14,271/15,393/816 is 90634053
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 14,15,816 . The biggest common factor number is the GCF number.
So the greatest common factor 14,15,816 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 851/14, 271/15, 393/816?
Answer: LCM of Numerators as per given numbers 851/14, 271/15, 393/816 is
LCM of Numerators i.e. for 851,271,393 is 90634053
GCF of denominators i.e. for 14,15,816 is 1.
Thus, LCM of Fractions is 90634053.Finally, LCM of Fractions for 851/14, 271/15, 393/816 is 90634053.