Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9456/490, 9890/580 quickly i.e. 4675992 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9456/490, 9890/580 is 4675992.
LCM(9456/490, 9890/580) = 4675992
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9456/490,9890/580
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 9456,9890
Least Common Multiple of Numerators i.e. LCM of 9456,9890 is 46759920.
GCF of Denominators means GCF of 490,580 as per the given fractions.
GCF of 490,580 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9456,9890
2 | 9456, 9890 |
4728, 4945 |
∴ So the LCM of the given numbers is 2 x 4728 x 4945 = 46759920
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 9456,9890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9456,9890) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(9456,9890) x common factors =2 x 1 = 2
LCM(9456,9890) = ( 9456 × 9890 ) / 2
LCM(9456,9890) = 93519840 / 2
LCM(9456,9890) = 46759920
Lets's calculate GCF of 490,580
2 | 490, 580 |
5 | 245, 290 |
49, 58 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46759920/10
Therefore the LCM of Fractions 9456/490,9890/580 is 4675992
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1,2,5,7,10,14,35,49,70,98,245,490
Factors of 580
List of positive integer factors of 580 that divides 580 without a remainder.
1,2,4,5,10,20,29,58,116,145,290,580
Greatest Common Factor
We found the factors 490,580 . The biggest common factor number is the GCF number.
So the greatest common factor 490,580 is 10.
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 9456/490, 9890/580?
Answer: LCM of Numerators as per given numbers 9456/490, 9890/580 is
LCM of Numerators i.e. for 9456,9890 is 46759920
GCF of denominators i.e. for 490,580 is 10.
Thus, LCM of Fractions is 4675992.Finally, LCM of Fractions for 9456/490, 9890/580 is 4675992.