Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 722/96, 623/7043 quickly i.e. 449806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 722/96, 623/7043 is 449806.
LCM(722/96, 623/7043) = 449806
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 722/96,623/7043
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 722,623
Least Common Multiple of Numerators i.e. LCM of 722,623 is 449806.
GCF of Denominators means GCF of 96,7043 as per the given fractions.
GCF of 96,7043 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 722,623
Given numbers has no common factors except 1. So, there LCM is their product i.e 449806
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 722,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,623) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(722,623) x common factors =1 x 1 = 1
LCM(722,623) = ( 722 × 623 ) / 1
LCM(722,623) = 449806 / 1
LCM(722,623) = 449806
Lets's calculate GCF of 96,7043
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 449806/1
Therefore the LCM of Fractions 722/96,623/7043 is 449806
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 7043
List of positive integer factors of 7043 that divides 7043 without a remainder.
1,7043
Greatest Common Factor
We found the factors 96,7043 . The biggest common factor number is the GCF number.
So the greatest common factor 96,7043 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 722/96, 623/7043?
Answer: LCM of Numerators as per given numbers 722/96, 623/7043 is
LCM of Numerators i.e. for 722,623 is 449806
GCF of denominators i.e. for 96,7043 is 1.
Thus, LCM of Fractions is 449806.Finally, LCM of Fractions for 722/96, 623/7043 is 449806.