Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7002/643, 9230/497 quickly i.e. 32314230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7002/643, 9230/497 is 32314230.
LCM(7002/643, 9230/497) = 32314230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7002/643,9230/497
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 7002,9230
Least Common Multiple of Numerators i.e. LCM of 7002,9230 is 32314230.
GCF of Denominators means GCF of 643,497 as per the given fractions.
GCF of 643,497 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7002,9230
2 | 7002, 9230 |
3501, 4615 |
∴ So the LCM of the given numbers is 2 x 3501 x 4615 = 32314230
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 7002,9230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7002,9230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(7002,9230) x common factors =2 x 1 = 2
LCM(7002,9230) = ( 7002 × 9230 ) / 2
LCM(7002,9230) = 64628460 / 2
LCM(7002,9230) = 32314230
Lets's calculate GCF of 643,497
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32314230/1
Therefore the LCM of Fractions 7002/643,9230/497 is 32314230
Factors of 643
List of positive integer factors of 643 that divides 643 without a remainder.
1,643
Factors of 497
List of positive integer factors of 497 that divides 497 without a remainder.
1,7,71,497
Greatest Common Factor
We found the factors 643,497 . The biggest common factor number is the GCF number.
So the greatest common factor 643,497 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 7002/643, 9230/497?
Answer: LCM of Numerators as per given numbers 7002/643, 9230/497 is
LCM of Numerators i.e. for 7002,9230 is 32314230
GCF of denominators i.e. for 643,497 is 1.
Thus, LCM of Fractions is 32314230.Finally, LCM of Fractions for 7002/643, 9230/497 is 32314230.