Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/390, 4907/4528 quickly i.e. 279699/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/390, 4907/4528 is 279699/2.
LCM(57/390, 4907/4528) = 279699/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/390,4907/4528
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 57,4907
Least Common Multiple of Numerators i.e. LCM of 57,4907 is 279699.
GCF of Denominators means GCF of 390,4528 as per the given fractions.
GCF of 390,4528 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,4907
Given numbers has no common factors except 1. So, there LCM is their product i.e 279699
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 57,4907 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,4907) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,4907) x common factors =1 x 1 = 1
LCM(57,4907) = ( 57 × 4907 ) / 1
LCM(57,4907) = 279699 / 1
LCM(57,4907) = 279699
Lets's calculate GCF of 390,4528
2 | 390, 4528 |
195, 2264 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279699/2
Therefore the LCM of Fractions 57/390,4907/4528 is 279699/2
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 4528
List of positive integer factors of 4528 that divides 4528 without a remainder.
1,2,4,8,16,283,566,1132,2264,4528
Greatest Common Factor
We found the factors 390,4528 . The biggest common factor number is the GCF number.
So the greatest common factor 390,4528 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 57/390, 4907/4528?
Answer: LCM of Numerators as per given numbers 57/390, 4907/4528 is
LCM of Numerators i.e. for 57,4907 is 279699
GCF of denominators i.e. for 390,4528 is 2.
Thus, LCM of Fractions is 279699/2.Finally, LCM of Fractions for 57/390, 4907/4528 is 279699/2.