Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 92/844, 9938/6447 quickly i.e. 457148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 92/844, 9938/6447 is 457148.
LCM(92/844, 9938/6447) = 457148
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 92/844,9938/6447
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 92,9938
Least Common Multiple of Numerators i.e. LCM of 92,9938 is 457148.
GCF of Denominators means GCF of 844,6447 as per the given fractions.
GCF of 844,6447 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 92,9938
2 | 92, 9938 |
46, 4969 |
∴ So the LCM of the given numbers is 2 x 46 x 4969 = 457148
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 92,9938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,9938) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(92,9938) x common factors =2 x 1 = 2
LCM(92,9938) = ( 92 × 9938 ) / 2
LCM(92,9938) = 914296 / 2
LCM(92,9938) = 457148
Lets's calculate GCF of 844,6447
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457148/1
Therefore the LCM of Fractions 92/844,9938/6447 is 457148
Factors of 844
List of positive integer factors of 844 that divides 844 without a remainder.
1,2,4,211,422,844
Factors of 6447
List of positive integer factors of 6447 that divides 6447 without a remainder.
1,3,7,21,307,921,2149,6447
Greatest Common Factor
We found the factors 844,6447 . The biggest common factor number is the GCF number.
So the greatest common factor 844,6447 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 92/844, 9938/6447?
Answer: LCM of Numerators as per given numbers 92/844, 9938/6447 is
LCM of Numerators i.e. for 92,9938 is 457148
GCF of denominators i.e. for 844,6447 is 1.
Thus, LCM of Fractions is 457148.Finally, LCM of Fractions for 92/844, 9938/6447 is 457148.