Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8633/854, 7023/497 quickly i.e. 60629559/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8633/854, 7023/497 is 60629559/7.
LCM(8633/854, 7023/497) = 60629559/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8633/854,7023/497
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 8633,7023
Least Common Multiple of Numerators i.e. LCM of 8633,7023 is 60629559.
GCF of Denominators means GCF of 854,497 as per the given fractions.
GCF of 854,497 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8633,7023
Given numbers has no common factors except 1. So, there LCM is their product i.e 60629559
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 8633,7023 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8633,7023) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8633,7023) x common factors =1 x 1 = 1
LCM(8633,7023) = ( 8633 × 7023 ) / 1
LCM(8633,7023) = 60629559 / 1
LCM(8633,7023) = 60629559
Lets's calculate GCF of 854,497
7 | 854, 497 |
122, 71 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 60629559/7
Therefore the LCM of Fractions 8633/854,7023/497 is 60629559/7
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
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 854,497 . The biggest common factor number is the GCF number.
So the greatest common factor 854,497 is 7.
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 8633/854, 7023/497?
Answer: LCM of Numerators as per given numbers 8633/854, 7023/497 is
LCM of Numerators i.e. for 8633,7023 is 60629559
GCF of denominators i.e. for 854,497 is 7.
Thus, LCM of Fractions is 60629559/7.Finally, LCM of Fractions for 8633/854, 7023/497 is 60629559/7.