Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/816, 64/742, 851/317 quickly i.e. 5174080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/816, 64/742, 851/317 is 5174080.
LCM(95/816, 64/742, 851/317) = 5174080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/816,64/742,851/317
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 95,64,851
Least Common Multiple of Numerators i.e. LCM of 95,64,851 is 5174080.
GCF of Denominators means GCF of 816,742,317 as per the given fractions.
GCF of 816,742,317 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,64,851
Given numbers has no common factors except 1. So, there LCM is their product i.e 5174080
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 95,64,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,64,851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,64,851) x common factors =1 x 1 = 1
LCM(95,64,851) = ( 95 × 64 × 851 ) / 1
LCM(95,64,851) = 5174080 / 1
LCM(95,64,851) = 5174080
Lets's calculate GCF of 816,742,317
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5174080/1
Therefore the LCM of Fractions 95/816,64/742,851/317 is 5174080
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
Factors of 742
List of positive integer factors of 742 that divides 742 without a remainder.
1,2,7,14,53,106,371,742
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Greatest Common Factor
We found the factors 816,742,317 . The biggest common factor number is the GCF number.
So the greatest common factor 816,742,317 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 95/816, 64/742, 851/317?
Answer: LCM of Numerators as per given numbers 95/816, 64/742, 851/317 is
LCM of Numerators i.e. for 95,64,851 is 5174080
GCF of denominators i.e. for 816,742,317 is 1.
Thus, LCM of Fractions is 5174080.Finally, LCM of Fractions for 95/816, 64/742, 851/317 is 5174080.