Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 135/490, 1449/918 quickly i.e. 21735/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 135/490, 1449/918 is 21735/2.
LCM(135/490, 1449/918) = 21735/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 135/490,1449/918
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 135,1449
Least Common Multiple of Numerators i.e. LCM of 135,1449 is 21735.
GCF of Denominators means GCF of 490,918 as per the given fractions.
GCF of 490,918 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 135,1449
3 | 135, 1449 |
3 | 45, 483 |
15, 161 |
∴ So the LCM of the given numbers is 3 x 3 x 15 x 161 = 21735
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 135,1449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,1449) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(135,1449) x common factors =9 x 1 = 9
LCM(135,1449) = ( 135 × 1449 ) / 9
LCM(135,1449) = 195615 / 9
LCM(135,1449) = 21735
Lets's calculate GCF of 490,918
2 | 490, 918 |
245, 459 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21735/2
Therefore the LCM of Fractions 135/490,1449/918 is 21735/2
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 918
List of positive integer factors of 918 that divides 918 without a remainder.
1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918
Greatest Common Factor
We found the factors 490,918 . The biggest common factor number is the GCF number.
So the greatest common factor 490,918 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 135/490, 1449/918?
Answer: LCM of Numerators as per given numbers 135/490, 1449/918 is
LCM of Numerators i.e. for 135,1449 is 21735
GCF of denominators i.e. for 490,918 is 2.
Thus, LCM of Fractions is 21735/2.Finally, LCM of Fractions for 135/490, 1449/918 is 21735/2.