Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6808/932, 3519/9497 quickly i.e. 1041624 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6808/932, 3519/9497 is 1041624.
LCM(6808/932, 3519/9497) = 1041624
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6808/932,3519/9497
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 6808,3519
Least Common Multiple of Numerators i.e. LCM of 6808,3519 is 1041624.
GCF of Denominators means GCF of 932,9497 as per the given fractions.
GCF of 932,9497 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6808,3519
23 | 6808, 3519 |
296, 153 |
∴ So the LCM of the given numbers is 23 x 296 x 153 = 1041624
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 6808,3519 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6808,3519) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(6808,3519) x common factors =23 x 1 = 23
LCM(6808,3519) = ( 6808 × 3519 ) / 23
LCM(6808,3519) = 23957352 / 23
LCM(6808,3519) = 1041624
Lets's calculate GCF of 932,9497
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1041624/1
Therefore the LCM of Fractions 6808/932,3519/9497 is 1041624
Factors of 932
List of positive integer factors of 932 that divides 932 without a remainder.
1,2,4,233,466,932
Factors of 9497
List of positive integer factors of 9497 that divides 9497 without a remainder.
1,9497
Greatest Common Factor
We found the factors 932,9497 . The biggest common factor number is the GCF number.
So the greatest common factor 932,9497 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 6808/932, 3519/9497?
Answer: LCM of Numerators as per given numbers 6808/932, 3519/9497 is
LCM of Numerators i.e. for 6808,3519 is 1041624
GCF of denominators i.e. for 932,9497 is 1.
Thus, LCM of Fractions is 1041624.Finally, LCM of Fractions for 6808/932, 3519/9497 is 1041624.