Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 66/867, 53/316, 395/371 quickly i.e. 1381710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 66/867, 53/316, 395/371 is 1381710.
LCM(66/867, 53/316, 395/371) = 1381710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 66/867,53/316,395/371
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 66,53,395
Least Common Multiple of Numerators i.e. LCM of 66,53,395 is 1381710.
GCF of Denominators means GCF of 867,316,371 as per the given fractions.
GCF of 867,316,371 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 66,53,395
Given numbers has no common factors except 1. So, there LCM is their product i.e 1381710
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 66,53,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(66,53,395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(66,53,395) x common factors =1 x 1 = 1
LCM(66,53,395) = ( 66 × 53 × 395 ) / 1
LCM(66,53,395) = 1381710 / 1
LCM(66,53,395) = 1381710
Lets's calculate GCF of 867,316,371
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1381710/1
Therefore the LCM of Fractions 66/867,53/316,395/371 is 1381710
Factors of 867
List of positive integer factors of 867 that divides 867 without a remainder.
1,3,17,51,289,867
Factors of 316
List of positive integer factors of 316 that divides 316 without a remainder.
1,2,4,79,158,316
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 867,316,371 . The biggest common factor number is the GCF number.
So the greatest common factor 867,316,371 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 66/867, 53/316, 395/371?
Answer: LCM of Numerators as per given numbers 66/867, 53/316, 395/371 is
LCM of Numerators i.e. for 66,53,395 is 1381710
GCF of denominators i.e. for 867,316,371 is 1.
Thus, LCM of Fractions is 1381710.Finally, LCM of Fractions for 66/867, 53/316, 395/371 is 1381710.