Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 290/517, 3722/9141 quickly i.e. 539690/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 290/517, 3722/9141 is 539690/11.
LCM(290/517, 3722/9141) = 539690/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 290/517,3722/9141
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 290,3722
Least Common Multiple of Numerators i.e. LCM of 290,3722 is 539690.
GCF of Denominators means GCF of 517,9141 as per the given fractions.
GCF of 517,9141 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 290,3722
2 | 290, 3722 |
145, 1861 |
∴ So the LCM of the given numbers is 2 x 145 x 1861 = 539690
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 290,3722 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(290,3722) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(290,3722) x common factors =2 x 1 = 2
LCM(290,3722) = ( 290 × 3722 ) / 2
LCM(290,3722) = 1079380 / 2
LCM(290,3722) = 539690
Lets's calculate GCF of 517,9141
11 | 517, 9141 |
47, 831 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 539690/11
Therefore the LCM of Fractions 290/517,3722/9141 is 539690/11
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 9141
List of positive integer factors of 9141 that divides 9141 without a remainder.
1,3,11,33,277,831,3047,9141
Greatest Common Factor
We found the factors 517,9141 . The biggest common factor number is the GCF number.
So the greatest common factor 517,9141 is 11.
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 290/517, 3722/9141?
Answer: LCM of Numerators as per given numbers 290/517, 3722/9141 is
LCM of Numerators i.e. for 290,3722 is 539690
GCF of denominators i.e. for 517,9141 is 11.
Thus, LCM of Fractions is 539690/11.Finally, LCM of Fractions for 290/517, 3722/9141 is 539690/11.