Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 568/651, 130/387 quickly i.e. 36920/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 568/651, 130/387 is 36920/3.
LCM(568/651, 130/387) = 36920/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 568/651,130/387
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 568,130
Least Common Multiple of Numerators i.e. LCM of 568,130 is 36920.
GCF of Denominators means GCF of 651,387 as per the given fractions.
GCF of 651,387 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 568,130
2 | 568, 130 |
284, 65 |
∴ So the LCM of the given numbers is 2 x 284 x 65 = 36920
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 568,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(568,130) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(568,130) x common factors =2 x 1 = 2
LCM(568,130) = ( 568 × 130 ) / 2
LCM(568,130) = 73840 / 2
LCM(568,130) = 36920
Lets's calculate GCF of 651,387
3 | 651, 387 |
217, 129 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36920/3
Therefore the LCM of Fractions 568/651,130/387 is 36920/3
Factors of 651
List of positive integer factors of 651 that divides 651 without a remainder.
1,3,7,21,31,93,217,651
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 651,387 . The biggest common factor number is the GCF number.
So the greatest common factor 651,387 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 568/651, 130/387?
Answer: LCM of Numerators as per given numbers 568/651, 130/387 is
LCM of Numerators i.e. for 568,130 is 36920
GCF of denominators i.e. for 651,387 is 3.
Thus, LCM of Fractions is 36920/3.Finally, LCM of Fractions for 568/651, 130/387 is 36920/3.