Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 610/690, 6473/9135 quickly i.e. 3948530/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 610/690, 6473/9135 is 3948530/15.
LCM(610/690, 6473/9135) = 3948530/15
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 610/690,6473/9135
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 610,6473
Least Common Multiple of Numerators i.e. LCM of 610,6473 is 3948530.
GCF of Denominators means GCF of 690,9135 as per the given fractions.
GCF of 690,9135 is 15 as it is the largest common factor for these numbers.
Lets's calculate LCM of 610,6473
Given numbers has no common factors except 1. So, there LCM is their product i.e 3948530
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 610,6473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(610,6473) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(610,6473) x common factors =1 x 1 = 1
LCM(610,6473) = ( 610 × 6473 ) / 1
LCM(610,6473) = 3948530 / 1
LCM(610,6473) = 3948530
Lets's calculate GCF of 690,9135
3 | 690, 9135 |
5 | 230, 3045 |
46, 609 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3948530/15
Therefore the LCM of Fractions 610/690,6473/9135 is 3948530/15
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 9135
List of positive integer factors of 9135 that divides 9135 without a remainder.
1,3,5,7,9,15,21,29,35,45,63,87,105,145,203,261,315,435,609,1015,1305,1827,3045,9135
Greatest Common Factor
We found the factors 690,9135 . The biggest common factor number is the GCF number.
So the greatest common factor 690,9135 is 15.
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 610/690, 6473/9135?
Answer: LCM of Numerators as per given numbers 610/690, 6473/9135 is
LCM of Numerators i.e. for 610,6473 is 3948530
GCF of denominators i.e. for 690,9135 is 15.
Thus, LCM of Fractions is 3948530/15.Finally, LCM of Fractions for 610/690, 6473/9135 is 3948530/15.