Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 47/801, 7387/2611 quickly i.e. 347189 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 47/801, 7387/2611 is 347189.
LCM(47/801, 7387/2611) = 347189
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 47/801,7387/2611
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 47,7387
Least Common Multiple of Numerators i.e. LCM of 47,7387 is 347189.
GCF of Denominators means GCF of 801,2611 as per the given fractions.
GCF of 801,2611 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 47,7387
Given numbers has no common factors except 1. So, there LCM is their product i.e 347189
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 47,7387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,7387) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,7387) x common factors =1 x 1 = 1
LCM(47,7387) = ( 47 × 7387 ) / 1
LCM(47,7387) = 347189 / 1
LCM(47,7387) = 347189
Lets's calculate GCF of 801,2611
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 347189/1
Therefore the LCM of Fractions 47/801,7387/2611 is 347189
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Factors of 2611
List of positive integer factors of 2611 that divides 2611 without a remainder.
1,7,373,2611
Greatest Common Factor
We found the factors 801,2611 . The biggest common factor number is the GCF number.
So the greatest common factor 801,2611 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 47/801, 7387/2611?
Answer: LCM of Numerators as per given numbers 47/801, 7387/2611 is
LCM of Numerators i.e. for 47,7387 is 347189
GCF of denominators i.e. for 801,2611 is 1.
Thus, LCM of Fractions is 347189.Finally, LCM of Fractions for 47/801, 7387/2611 is 347189.