Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 976/842, 6395/9546 quickly i.e. 3120760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 976/842, 6395/9546 is 3120760.
LCM(976/842, 6395/9546) = 3120760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 976/842,6395/9546
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 976,6395
Least Common Multiple of Numerators i.e. LCM of 976,6395 is 6241520.
GCF of Denominators means GCF of 842,9546 as per the given fractions.
GCF of 842,9546 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 976,6395
Given numbers has no common factors except 1. So, there LCM is their product i.e 6241520
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 976,6395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,6395) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(976,6395) x common factors =1 x 1 = 1
LCM(976,6395) = ( 976 × 6395 ) / 1
LCM(976,6395) = 6241520 / 1
LCM(976,6395) = 6241520
Lets's calculate GCF of 842,9546
2 | 842, 9546 |
421, 4773 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6241520/2
Therefore the LCM of Fractions 976/842,6395/9546 is 3120760
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Factors of 9546
List of positive integer factors of 9546 that divides 9546 without a remainder.
1,2,3,6,37,43,74,86,111,129,222,258,1591,3182,4773,9546
Greatest Common Factor
We found the factors 842,9546 . The biggest common factor number is the GCF number.
So the greatest common factor 842,9546 is 2.
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 976/842, 6395/9546?
Answer: LCM of Numerators as per given numbers 976/842, 6395/9546 is
LCM of Numerators i.e. for 976,6395 is 6241520
GCF of denominators i.e. for 842,9546 is 2.
Thus, LCM of Fractions is 3120760.Finally, LCM of Fractions for 976/842, 6395/9546 is 3120760.