Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7929/482, 1388/465 quickly i.e. 11005452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7929/482, 1388/465 is 11005452.
LCM(7929/482, 1388/465) = 11005452
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7929/482,1388/465
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 7929,1388
Least Common Multiple of Numerators i.e. LCM of 7929,1388 is 11005452.
GCF of Denominators means GCF of 482,465 as per the given fractions.
GCF of 482,465 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7929,1388
Given numbers has no common factors except 1. So, there LCM is their product i.e 11005452
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 7929,1388 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7929,1388) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7929,1388) x common factors =1 x 1 = 1
LCM(7929,1388) = ( 7929 × 1388 ) / 1
LCM(7929,1388) = 11005452 / 1
LCM(7929,1388) = 11005452
Lets's calculate GCF of 482,465
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11005452/1
Therefore the LCM of Fractions 7929/482,1388/465 is 11005452
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Greatest Common Factor
We found the factors 482,465 . The biggest common factor number is the GCF number.
So the greatest common factor 482,465 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 7929/482, 1388/465?
Answer: LCM of Numerators as per given numbers 7929/482, 1388/465 is
LCM of Numerators i.e. for 7929,1388 is 11005452
GCF of denominators i.e. for 482,465 is 1.
Thus, LCM of Fractions is 11005452.Finally, LCM of Fractions for 7929/482, 1388/465 is 11005452.