Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3447/157, 3811/920 quickly i.e. 13136517 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3447/157, 3811/920 is 13136517.
LCM(3447/157, 3811/920) = 13136517
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3447/157,3811/920
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 3447,3811
Least Common Multiple of Numerators i.e. LCM of 3447,3811 is 13136517.
GCF of Denominators means GCF of 157,920 as per the given fractions.
GCF of 157,920 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3447,3811
Given numbers has no common factors except 1. So, there LCM is their product i.e 13136517
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 3447,3811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3447,3811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3447,3811) x common factors =1 x 1 = 1
LCM(3447,3811) = ( 3447 × 3811 ) / 1
LCM(3447,3811) = 13136517 / 1
LCM(3447,3811) = 13136517
Lets's calculate GCF of 157,920
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13136517/1
Therefore the LCM of Fractions 3447/157,3811/920 is 13136517
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Factors of 920
List of positive integer factors of 920 that divides 920 without a remainder.
1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920
Greatest Common Factor
We found the factors 157,920 . The biggest common factor number is the GCF number.
So the greatest common factor 157,920 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 3447/157, 3811/920?
Answer: LCM of Numerators as per given numbers 3447/157, 3811/920 is
LCM of Numerators i.e. for 3447,3811 is 13136517
GCF of denominators i.e. for 157,920 is 1.
Thus, LCM of Fractions is 13136517.Finally, LCM of Fractions for 3447/157, 3811/920 is 13136517.