Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9264/131, 3490/1722 quickly i.e. 16165680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9264/131, 3490/1722 is 16165680.
LCM(9264/131, 3490/1722) = 16165680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9264/131,3490/1722
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 9264,3490
Least Common Multiple of Numerators i.e. LCM of 9264,3490 is 16165680.
GCF of Denominators means GCF of 131,1722 as per the given fractions.
GCF of 131,1722 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9264,3490
2 | 9264, 3490 |
4632, 1745 |
∴ So the LCM of the given numbers is 2 x 4632 x 1745 = 16165680
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 9264,3490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9264,3490) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9264,3490) x common factors =2 x 1 = 2
LCM(9264,3490) = ( 9264 × 3490 ) / 2
LCM(9264,3490) = 32331360 / 2
LCM(9264,3490) = 16165680
Lets's calculate GCF of 131,1722
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16165680/1
Therefore the LCM of Fractions 9264/131,3490/1722 is 16165680
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Factors of 1722
List of positive integer factors of 1722 that divides 1722 without a remainder.
1,2,3,6,7,14,21,41,42,82,123,246,287,574,861,1722
Greatest Common Factor
We found the factors 131,1722 . The biggest common factor number is the GCF number.
So the greatest common factor 131,1722 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 9264/131, 3490/1722?
Answer: LCM of Numerators as per given numbers 9264/131, 3490/1722 is
LCM of Numerators i.e. for 9264,3490 is 16165680
GCF of denominators i.e. for 131,1722 is 1.
Thus, LCM of Fractions is 16165680.Finally, LCM of Fractions for 9264/131, 3490/1722 is 16165680.