Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/979, 4709/9072 quickly i.e. 301376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/979, 4709/9072 is 301376.
LCM(64/979, 4709/9072) = 301376
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/979,4709/9072
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 64,4709
Least Common Multiple of Numerators i.e. LCM of 64,4709 is 301376.
GCF of Denominators means GCF of 979,9072 as per the given fractions.
GCF of 979,9072 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,4709
Given numbers has no common factors except 1. So, there LCM is their product i.e 301376
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 64,4709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,4709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,4709) x common factors =1 x 1 = 1
LCM(64,4709) = ( 64 × 4709 ) / 1
LCM(64,4709) = 301376 / 1
LCM(64,4709) = 301376
Lets's calculate GCF of 979,9072
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 301376/1
Therefore the LCM of Fractions 64/979,4709/9072 is 301376
Factors of 979
List of positive integer factors of 979 that divides 979 without a remainder.
1,11,89,979
Factors of 9072
List of positive integer factors of 9072 that divides 9072 without a remainder.
1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072
Greatest Common Factor
We found the factors 979,9072 . The biggest common factor number is the GCF number.
So the greatest common factor 979,9072 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 64/979, 4709/9072?
Answer: LCM of Numerators as per given numbers 64/979, 4709/9072 is
LCM of Numerators i.e. for 64,4709 is 301376
GCF of denominators i.e. for 979,9072 is 1.
Thus, LCM of Fractions is 301376.Finally, LCM of Fractions for 64/979, 4709/9072 is 301376.