Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6510/58, 2573/685 quickly i.e. 540330 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6510/58, 2573/685 is 540330.
LCM(6510/58, 2573/685) = 540330
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6510/58,2573/685
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 6510,2573
Least Common Multiple of Numerators i.e. LCM of 6510,2573 is 540330.
GCF of Denominators means GCF of 58,685 as per the given fractions.
GCF of 58,685 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6510,2573
31 | 6510, 2573 |
210, 83 |
∴ So the LCM of the given numbers is 31 x 210 x 83 = 540330
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 6510,2573 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6510,2573) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(6510,2573) x common factors =31 x 1 = 31
LCM(6510,2573) = ( 6510 × 2573 ) / 31
LCM(6510,2573) = 16750230 / 31
LCM(6510,2573) = 540330
Lets's calculate GCF of 58,685
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 540330/1
Therefore the LCM of Fractions 6510/58,2573/685 is 540330
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Greatest Common Factor
We found the factors 58,685 . The biggest common factor number is the GCF number.
So the greatest common factor 58,685 is 1.
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 6510/58, 2573/685?
Answer: LCM of Numerators as per given numbers 6510/58, 2573/685 is
LCM of Numerators i.e. for 6510,2573 is 540330
GCF of denominators i.e. for 58,685 is 1.
Thus, LCM of Fractions is 540330.Finally, LCM of Fractions for 6510/58, 2573/685 is 540330.