Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7804/935, 5190/3217 quickly i.e. 20251380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7804/935, 5190/3217 is 20251380.
LCM(7804/935, 5190/3217) = 20251380
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7804/935,5190/3217
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 7804,5190
Least Common Multiple of Numerators i.e. LCM of 7804,5190 is 20251380.
GCF of Denominators means GCF of 935,3217 as per the given fractions.
GCF of 935,3217 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7804,5190
2 | 7804, 5190 |
3902, 2595 |
∴ So the LCM of the given numbers is 2 x 3902 x 2595 = 20251380
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 7804,5190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7804,5190) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7804,5190) x common factors =2 x 1 = 2
LCM(7804,5190) = ( 7804 × 5190 ) / 2
LCM(7804,5190) = 40502760 / 2
LCM(7804,5190) = 20251380
Lets's calculate GCF of 935,3217
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20251380/1
Therefore the LCM of Fractions 7804/935,5190/3217 is 20251380
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 3217
List of positive integer factors of 3217 that divides 3217 without a remainder.
1,3217
Greatest Common Factor
We found the factors 935,3217 . The biggest common factor number is the GCF number.
So the greatest common factor 935,3217 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 7804/935, 5190/3217?
Answer: LCM of Numerators as per given numbers 7804/935, 5190/3217 is
LCM of Numerators i.e. for 7804,5190 is 20251380
GCF of denominators i.e. for 935,3217 is 1.
Thus, LCM of Fractions is 20251380.Finally, LCM of Fractions for 7804/935, 5190/3217 is 20251380.