Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 647/530, 264/516 quickly i.e. 85404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 647/530, 264/516 is 85404.
LCM(647/530, 264/516) = 85404
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 647/530,264/516
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 647,264
Least Common Multiple of Numerators i.e. LCM of 647,264 is 170808.
GCF of Denominators means GCF of 530,516 as per the given fractions.
GCF of 530,516 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 647,264
Given numbers has no common factors except 1. So, there LCM is their product i.e 170808
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 647,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(647,264) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(647,264) x common factors =1 x 1 = 1
LCM(647,264) = ( 647 × 264 ) / 1
LCM(647,264) = 170808 / 1
LCM(647,264) = 170808
Lets's calculate GCF of 530,516
2 | 530, 516 |
265, 258 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 170808/2
Therefore the LCM of Fractions 647/530,264/516 is 85404
Factors of 530
List of positive integer factors of 530 that divides 530 without a remainder.
1,2,5,10,53,106,265,530
Factors of 516
List of positive integer factors of 516 that divides 516 without a remainder.
1,2,3,4,6,12,43,86,129,172,258,516
Greatest Common Factor
We found the factors 530,516 . The biggest common factor number is the GCF number.
So the greatest common factor 530,516 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 647/530, 264/516?
Answer: LCM of Numerators as per given numbers 647/530, 264/516 is
LCM of Numerators i.e. for 647,264 is 170808
GCF of denominators i.e. for 530,516 is 2.
Thus, LCM of Fractions is 85404.Finally, LCM of Fractions for 647/530, 264/516 is 85404.