Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 502/376, 7249/638 quickly i.e. 1819499 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 502/376, 7249/638 is 1819499.
LCM(502/376, 7249/638) = 1819499
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 502/376,7249/638
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 502,7249
Least Common Multiple of Numerators i.e. LCM of 502,7249 is 3638998.
GCF of Denominators means GCF of 376,638 as per the given fractions.
GCF of 376,638 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 502,7249
Given numbers has no common factors except 1. So, there LCM is their product i.e 3638998
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 502,7249 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(502,7249) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(502,7249) x common factors =1 x 1 = 1
LCM(502,7249) = ( 502 × 7249 ) / 1
LCM(502,7249) = 3638998 / 1
LCM(502,7249) = 3638998
Lets's calculate GCF of 376,638
2 | 376, 638 |
188, 319 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3638998/2
Therefore the LCM of Fractions 502/376,7249/638 is 1819499
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Greatest Common Factor
We found the factors 376,638 . The biggest common factor number is the GCF number.
So the greatest common factor 376,638 is 2.
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 502/376, 7249/638?
Answer: LCM of Numerators as per given numbers 502/376, 7249/638 is
LCM of Numerators i.e. for 502,7249 is 3638998
GCF of denominators i.e. for 376,638 is 2.
Thus, LCM of Fractions is 1819499.Finally, LCM of Fractions for 502/376, 7249/638 is 1819499.