Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/48, 87/91, 67/43, 79/443 quickly i.e. 29471424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/48, 87/91, 67/43, 79/443 is 29471424.
LCM(64/48, 87/91, 67/43, 79/443) = 29471424
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/48,87/91,67/43,79/443
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 64,87,67,79
Least Common Multiple of Numerators i.e. LCM of 64,87,67,79 is 29471424.
GCF of Denominators means GCF of 48,91,43,443 as per the given fractions.
GCF of 48,91,43,443 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,87,67,79
Given numbers has no common factors except 1. So, there LCM is their product i.e 29471424
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 64,87,67,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,87,67,79) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,87,67,79) x common factors =1 x 1 = 1
LCM(64,87,67,79) = ( 64 × 87 × 67 × 79 ) / 1
LCM(64,87,67,79) = 29471424 / 1
LCM(64,87,67,79) = 29471424
Lets's calculate GCF of 48,91,43,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29471424/1
Therefore the LCM of Fractions 64/48,87/91,67/43,79/443 is 29471424
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 43
List of positive integer factors of 43 that divides 43 without a remainder.
1,43
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 48,91,43,443 . The biggest common factor number is the GCF number.
So the greatest common factor 48,91,43,443 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 64/48, 87/91, 67/43, 79/443?
Answer: LCM of Numerators as per given numbers 64/48, 87/91, 67/43, 79/443 is
LCM of Numerators i.e. for 64,87,67,79 is 29471424
GCF of denominators i.e. for 48,91,43,443 is 1.
Thus, LCM of Fractions is 29471424.Finally, LCM of Fractions for 64/48, 87/91, 67/43, 79/443 is 29471424.