Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 490/606, 6553/855 quickly i.e. 3210970/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 490/606, 6553/855 is 3210970/3.
LCM(490/606, 6553/855) = 3210970/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 490/606,6553/855
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 490,6553
Least Common Multiple of Numerators i.e. LCM of 490,6553 is 3210970.
GCF of Denominators means GCF of 606,855 as per the given fractions.
GCF of 606,855 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 490,6553
Given numbers has no common factors except 1. So, there LCM is their product i.e 3210970
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 490,6553 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(490,6553) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(490,6553) x common factors =1 x 1 = 1
LCM(490,6553) = ( 490 × 6553 ) / 1
LCM(490,6553) = 3210970 / 1
LCM(490,6553) = 3210970
Lets's calculate GCF of 606,855
3 | 606, 855 |
202, 285 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3210970/3
Therefore the LCM of Fractions 490/606,6553/855 is 3210970/3
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Factors of 855
List of positive integer factors of 855 that divides 855 without a remainder.
1,3,5,9,15,19,45,57,95,171,285,855
Greatest Common Factor
We found the factors 606,855 . The biggest common factor number is the GCF number.
So the greatest common factor 606,855 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 490/606, 6553/855?
Answer: LCM of Numerators as per given numbers 490/606, 6553/855 is
LCM of Numerators i.e. for 490,6553 is 3210970
GCF of denominators i.e. for 606,855 is 3.
Thus, LCM of Fractions is 3210970/3.Finally, LCM of Fractions for 490/606, 6553/855 is 3210970/3.