Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 864/75, 107/7282 quickly i.e. 92448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 864/75, 107/7282 is 92448.
LCM(864/75, 107/7282) = 92448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 864/75,107/7282
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 864,107
Least Common Multiple of Numerators i.e. LCM of 864,107 is 92448.
GCF of Denominators means GCF of 75,7282 as per the given fractions.
GCF of 75,7282 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 864,107
Given numbers has no common factors except 1. So, there LCM is their product i.e 92448
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 864,107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(864,107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(864,107) x common factors =1 x 1 = 1
LCM(864,107) = ( 864 × 107 ) / 1
LCM(864,107) = 92448 / 1
LCM(864,107) = 92448
Lets's calculate GCF of 75,7282
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92448/1
Therefore the LCM of Fractions 864/75,107/7282 is 92448
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 7282
List of positive integer factors of 7282 that divides 7282 without a remainder.
1,2,11,22,331,662,3641,7282
Greatest Common Factor
We found the factors 75,7282 . The biggest common factor number is the GCF number.
So the greatest common factor 75,7282 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 864/75, 107/7282?
Answer: LCM of Numerators as per given numbers 864/75, 107/7282 is
LCM of Numerators i.e. for 864,107 is 92448
GCF of denominators i.e. for 75,7282 is 1.
Thus, LCM of Fractions is 92448.Finally, LCM of Fractions for 864/75, 107/7282 is 92448.