Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/502, 6318/7888 quickly i.e. 60021 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/502, 6318/7888 is 60021.
LCM(57/502, 6318/7888) = 60021
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/502,6318/7888
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 57,6318
Least Common Multiple of Numerators i.e. LCM of 57,6318 is 120042.
GCF of Denominators means GCF of 502,7888 as per the given fractions.
GCF of 502,7888 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,6318
3 | 57, 6318 |
19, 2106 |
∴ So the LCM of the given numbers is 3 x 19 x 2106 = 120042
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 57,6318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,6318) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(57,6318) x common factors =3 x 1 = 3
LCM(57,6318) = ( 57 × 6318 ) / 3
LCM(57,6318) = 360126 / 3
LCM(57,6318) = 120042
Lets's calculate GCF of 502,7888
2 | 502, 7888 |
251, 3944 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120042/2
Therefore the LCM of Fractions 57/502,6318/7888 is 60021
Factors of 502
List of positive integer factors of 502 that divides 502 without a remainder.
1,2,251,502
Factors of 7888
List of positive integer factors of 7888 that divides 7888 without a remainder.
1,2,4,8,16,17,29,34,58,68,116,136,232,272,464,493,986,1972,3944,7888
Greatest Common Factor
We found the factors 502,7888 . The biggest common factor number is the GCF number.
So the greatest common factor 502,7888 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 57/502, 6318/7888?
Answer: LCM of Numerators as per given numbers 57/502, 6318/7888 is
LCM of Numerators i.e. for 57,6318 is 120042
GCF of denominators i.e. for 502,7888 is 2.
Thus, LCM of Fractions is 60021.Finally, LCM of Fractions for 57/502, 6318/7888 is 60021.