Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6492/935, 7372/341 quickly i.e. 11964756/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6492/935, 7372/341 is 11964756/11.
LCM(6492/935, 7372/341) = 11964756/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6492/935,7372/341
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 6492,7372
Least Common Multiple of Numerators i.e. LCM of 6492,7372 is 11964756.
GCF of Denominators means GCF of 935,341 as per the given fractions.
GCF of 935,341 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6492,7372
2 | 6492, 7372 |
2 | 3246, 3686 |
1623, 1843 |
∴ So the LCM of the given numbers is 2 x 2 x 1623 x 1843 = 11964756
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 6492,7372 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6492,7372) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(6492,7372) x common factors =4 x 1 = 4
LCM(6492,7372) = ( 6492 × 7372 ) / 4
LCM(6492,7372) = 47859024 / 4
LCM(6492,7372) = 11964756
Lets's calculate GCF of 935,341
11 | 935, 341 |
85, 31 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11964756/11
Therefore the LCM of Fractions 6492/935,7372/341 is 11964756/11
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Factors of 341
List of positive integer factors of 341 that divides 341 without a remainder.
1,11,31,341
Greatest Common Factor
We found the factors 935,341 . The biggest common factor number is the GCF number.
So the greatest common factor 935,341 is 11.
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 6492/935, 7372/341?
Answer: LCM of Numerators as per given numbers 6492/935, 7372/341 is
LCM of Numerators i.e. for 6492,7372 is 11964756
GCF of denominators i.e. for 935,341 is 11.
Thus, LCM of Fractions is 11964756/11.Finally, LCM of Fractions for 6492/935, 7372/341 is 11964756/11.