Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/207, 27/100, 47/769 quickly i.e. 2538 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/207, 27/100, 47/769 is 2538.
LCM(2/207, 27/100, 47/769) = 2538
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/207,27/100,47/769
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 2,27,47
Least Common Multiple of Numerators i.e. LCM of 2,27,47 is 2538.
GCF of Denominators means GCF of 207,100,769 as per the given fractions.
GCF of 207,100,769 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,27,47
Given numbers has no common factors except 1. So, there LCM is their product i.e 2538
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 2,27,47 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,27,47) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2,27,47) x common factors =1 x 1 = 1
LCM(2,27,47) = ( 2 × 27 × 47 ) / 1
LCM(2,27,47) = 2538 / 1
LCM(2,27,47) = 2538
Lets's calculate GCF of 207,100,769
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2538/1
Therefore the LCM of Fractions 2/207,27/100,47/769 is 2538
Factors of 207
List of positive integer factors of 207 that divides 207 without a remainder.
1,3,9,23,69,207
Factors of 100
List of positive integer factors of 100 that divides 100 without a remainder.
1,2,4,5,10,20,25,50,100
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Greatest Common Factor
We found the factors 207,100,769 . The biggest common factor number is the GCF number.
So the greatest common factor 207,100,769 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 2/207, 27/100, 47/769?
Answer: LCM of Numerators as per given numbers 2/207, 27/100, 47/769 is
LCM of Numerators i.e. for 2,27,47 is 2538
GCF of denominators i.e. for 207,100,769 is 1.
Thus, LCM of Fractions is 2538.Finally, LCM of Fractions for 2/207, 27/100, 47/769 is 2538.