Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3170/741, 7227/3481 quickly i.e. 22909590 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3170/741, 7227/3481 is 22909590.
LCM(3170/741, 7227/3481) = 22909590
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3170/741,7227/3481
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 3170,7227
Least Common Multiple of Numerators i.e. LCM of 3170,7227 is 22909590.
GCF of Denominators means GCF of 741,3481 as per the given fractions.
GCF of 741,3481 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3170,7227
Given numbers has no common factors except 1. So, there LCM is their product i.e 22909590
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 3170,7227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3170,7227) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3170,7227) x common factors =1 x 1 = 1
LCM(3170,7227) = ( 3170 × 7227 ) / 1
LCM(3170,7227) = 22909590 / 1
LCM(3170,7227) = 22909590
Lets's calculate GCF of 741,3481
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22909590/1
Therefore the LCM of Fractions 3170/741,7227/3481 is 22909590
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Factors of 3481
List of positive integer factors of 3481 that divides 3481 without a remainder.
1,59,3481
Greatest Common Factor
We found the factors 741,3481 . The biggest common factor number is the GCF number.
So the greatest common factor 741,3481 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 3170/741, 7227/3481?
Answer: LCM of Numerators as per given numbers 3170/741, 7227/3481 is
LCM of Numerators i.e. for 3170,7227 is 22909590
GCF of denominators i.e. for 741,3481 is 1.
Thus, LCM of Fractions is 22909590.Finally, LCM of Fractions for 3170/741, 7227/3481 is 22909590.