Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 249/57, 570/8007 quickly i.e. 15770 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 249/57, 570/8007 is 15770.
LCM(249/57, 570/8007) = 15770
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 249/57,570/8007
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 249,570
Least Common Multiple of Numerators i.e. LCM of 249,570 is 47310.
GCF of Denominators means GCF of 57,8007 as per the given fractions.
GCF of 57,8007 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 249,570
3 | 249, 570 |
83, 190 |
∴ So the LCM of the given numbers is 3 x 83 x 190 = 47310
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 249,570 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(249,570) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(249,570) x common factors =3 x 1 = 3
LCM(249,570) = ( 249 × 570 ) / 3
LCM(249,570) = 141930 / 3
LCM(249,570) = 47310
Lets's calculate GCF of 57,8007
3 | 57, 8007 |
19, 2669 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47310/3
Therefore the LCM of Fractions 249/57,570/8007 is 15770
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 8007
List of positive integer factors of 8007 that divides 8007 without a remainder.
1,3,17,51,157,471,2669,8007
Greatest Common Factor
We found the factors 57,8007 . The biggest common factor number is the GCF number.
So the greatest common factor 57,8007 is 3.
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 249/57, 570/8007?
Answer: LCM of Numerators as per given numbers 249/57, 570/8007 is
LCM of Numerators i.e. for 249,570 is 47310
GCF of denominators i.e. for 57,8007 is 3.
Thus, LCM of Fractions is 15770.Finally, LCM of Fractions for 249/57, 570/8007 is 15770.