Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6238/846, 9497/423 quickly i.e. 59242286/423 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6238/846, 9497/423 is 59242286/423.
LCM(6238/846, 9497/423) = 59242286/423
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6238/846,9497/423
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 6238,9497
Least Common Multiple of Numerators i.e. LCM of 6238,9497 is 59242286.
GCF of Denominators means GCF of 846,423 as per the given fractions.
GCF of 846,423 is 423 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6238,9497
Given numbers has no common factors except 1. So, there LCM is their product i.e 59242286
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 6238,9497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6238,9497) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6238,9497) x common factors =1 x 1 = 1
LCM(6238,9497) = ( 6238 × 9497 ) / 1
LCM(6238,9497) = 59242286 / 1
LCM(6238,9497) = 59242286
Lets's calculate GCF of 846,423
3 | 846, 423 |
3 | 282, 141 |
47 | 94, 47 |
2, 1 |
∴ So the GCF of the given numbers is 3 x 3 x 47 = 423
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59242286/423
Therefore the LCM of Fractions 6238/846,9497/423 is 59242286/423
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Greatest Common Factor
We found the factors 846,423 . The biggest common factor number is the GCF number.
So the greatest common factor 846,423 is 423.
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 6238/846, 9497/423?
Answer: LCM of Numerators as per given numbers 6238/846, 9497/423 is
LCM of Numerators i.e. for 6238,9497 is 59242286
GCF of denominators i.e. for 846,423 is 423.
Thus, LCM of Fractions is 59242286/423.Finally, LCM of Fractions for 6238/846, 9497/423 is 59242286/423.