Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1924/115, 9065/4331 quickly i.e. 471380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1924/115, 9065/4331 is 471380.
LCM(1924/115, 9065/4331) = 471380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1924/115,9065/4331
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 1924,9065
Least Common Multiple of Numerators i.e. LCM of 1924,9065 is 471380.
GCF of Denominators means GCF of 115,4331 as per the given fractions.
GCF of 115,4331 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1924,9065
37 | 1924, 9065 |
52, 245 |
∴ So the LCM of the given numbers is 37 x 52 x 245 = 471380
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 1924,9065 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1924,9065) = 37
common factors(in case of two or more numbers have common factors) = 1
GCF(1924,9065) x common factors =37 x 1 = 37
LCM(1924,9065) = ( 1924 × 9065 ) / 37
LCM(1924,9065) = 17441060 / 37
LCM(1924,9065) = 471380
Lets's calculate GCF of 115,4331
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 471380/1
Therefore the LCM of Fractions 1924/115,9065/4331 is 471380
Factors of 115
List of positive integer factors of 115 that divides 115 without a remainder.
1,5,23,115
Factors of 4331
List of positive integer factors of 4331 that divides 4331 without a remainder.
1,61,71,4331
Greatest Common Factor
We found the factors 115,4331 . The biggest common factor number is the GCF number.
So the greatest common factor 115,4331 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 1924/115, 9065/4331?
Answer: LCM of Numerators as per given numbers 1924/115, 9065/4331 is
LCM of Numerators i.e. for 1924,9065 is 471380
GCF of denominators i.e. for 115,4331 is 1.
Thus, LCM of Fractions is 471380.Finally, LCM of Fractions for 1924/115, 9065/4331 is 471380.