Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 972/389, 9296/739 quickly i.e. 2258928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 972/389, 9296/739 is 2258928.
LCM(972/389, 9296/739) = 2258928
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 972/389,9296/739
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 972,9296
Least Common Multiple of Numerators i.e. LCM of 972,9296 is 2258928.
GCF of Denominators means GCF of 389,739 as per the given fractions.
GCF of 389,739 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 972,9296
2 | 972, 9296 |
2 | 486, 4648 |
243, 2324 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 2324 = 2258928
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 972,9296 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,9296) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,9296) x common factors =4 x 1 = 4
LCM(972,9296) = ( 972 × 9296 ) / 4
LCM(972,9296) = 9035712 / 4
LCM(972,9296) = 2258928
Lets's calculate GCF of 389,739
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2258928/1
Therefore the LCM of Fractions 972/389,9296/739 is 2258928
Factors of 389
List of positive integer factors of 389 that divides 389 without a remainder.
1,389
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Greatest Common Factor
We found the factors 389,739 . The biggest common factor number is the GCF number.
So the greatest common factor 389,739 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 972/389, 9296/739?
Answer: LCM of Numerators as per given numbers 972/389, 9296/739 is
LCM of Numerators i.e. for 972,9296 is 2258928
GCF of denominators i.e. for 389,739 is 1.
Thus, LCM of Fractions is 2258928.Finally, LCM of Fractions for 972/389, 9296/739 is 2258928.