Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8143/813, 6023/663 quickly i.e. 49045289/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8143/813, 6023/663 is 49045289/3.
LCM(8143/813, 6023/663) = 49045289/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8143/813,6023/663
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 8143,6023
Least Common Multiple of Numerators i.e. LCM of 8143,6023 is 49045289.
GCF of Denominators means GCF of 813,663 as per the given fractions.
GCF of 813,663 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8143,6023
Given numbers has no common factors except 1. So, there LCM is their product i.e 49045289
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 8143,6023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8143,6023) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8143,6023) x common factors =1 x 1 = 1
LCM(8143,6023) = ( 8143 × 6023 ) / 1
LCM(8143,6023) = 49045289 / 1
LCM(8143,6023) = 49045289
Lets's calculate GCF of 813,663
3 | 813, 663 |
271, 221 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49045289/3
Therefore the LCM of Fractions 8143/813,6023/663 is 49045289/3
Factors of 813
List of positive integer factors of 813 that divides 813 without a remainder.
1,3,271,813
Factors of 663
List of positive integer factors of 663 that divides 663 without a remainder.
1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 813,663 . The biggest common factor number is the GCF number.
So the greatest common factor 813,663 is 3.
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 8143/813, 6023/663?
Answer: LCM of Numerators as per given numbers 8143/813, 6023/663 is
LCM of Numerators i.e. for 8143,6023 is 49045289
GCF of denominators i.e. for 813,663 is 3.
Thus, LCM of Fractions is 49045289/3.Finally, LCM of Fractions for 8143/813, 6023/663 is 49045289/3.