Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 241/58, 8502/377 quickly i.e. 2048982/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 241/58, 8502/377 is 2048982/29.
LCM(241/58, 8502/377) = 2048982/29
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 241/58,8502/377
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 241,8502
Least Common Multiple of Numerators i.e. LCM of 241,8502 is 2048982.
GCF of Denominators means GCF of 58,377 as per the given fractions.
GCF of 58,377 is 29 as it is the largest common factor for these numbers.
Lets's calculate LCM of 241,8502
Given numbers has no common factors except 1. So, there LCM is their product i.e 2048982
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 241,8502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,8502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,8502) x common factors =1 x 1 = 1
LCM(241,8502) = ( 241 × 8502 ) / 1
LCM(241,8502) = 2048982 / 1
LCM(241,8502) = 2048982
Lets's calculate GCF of 58,377
29 | 58, 377 |
2, 13 |
∴ So the GCF of the given numbers is 29 = 29
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2048982/29
Therefore the LCM of Fractions 241/58,8502/377 is 2048982/29
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 377
List of positive integer factors of 377 that divides 377 without a remainder.
1,13,29,377
Greatest Common Factor
We found the factors 58,377 . The biggest common factor number is the GCF number.
So the greatest common factor 58,377 is 29.
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 241/58, 8502/377?
Answer: LCM of Numerators as per given numbers 241/58, 8502/377 is
LCM of Numerators i.e. for 241,8502 is 2048982
GCF of denominators i.e. for 58,377 is 29.
Thus, LCM of Fractions is 2048982/29.Finally, LCM of Fractions for 241/58, 8502/377 is 2048982/29.