Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3871/290, 6901/950 quickly i.e. 26713771/10 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3871/290, 6901/950 is 26713771/10.
LCM(3871/290, 6901/950) = 26713771/10
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3871/290,6901/950
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 3871,6901
Least Common Multiple of Numerators i.e. LCM of 3871,6901 is 26713771.
GCF of Denominators means GCF of 290,950 as per the given fractions.
GCF of 290,950 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3871,6901
Given numbers has no common factors except 1. So, there LCM is their product i.e 26713771
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 3871,6901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3871,6901) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3871,6901) x common factors =1 x 1 = 1
LCM(3871,6901) = ( 3871 × 6901 ) / 1
LCM(3871,6901) = 26713771 / 1
LCM(3871,6901) = 26713771
Lets's calculate GCF of 290,950
2 | 290, 950 |
5 | 145, 475 |
29, 95 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26713771/10
Therefore the LCM of Fractions 3871/290,6901/950 is 26713771/10
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Greatest Common Factor
We found the factors 290,950 . The biggest common factor number is the GCF number.
So the greatest common factor 290,950 is 10.
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 3871/290, 6901/950?
Answer: LCM of Numerators as per given numbers 3871/290, 6901/950 is
LCM of Numerators i.e. for 3871,6901 is 26713771
GCF of denominators i.e. for 290,950 is 10.
Thus, LCM of Fractions is 26713771/10.Finally, LCM of Fractions for 3871/290, 6901/950 is 26713771/10.