Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/490, 61/329, 210/459 quickly i.e. 51240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/490, 61/329, 210/459 is 51240.
LCM(24/490, 61/329, 210/459) = 51240
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/490,61/329,210/459
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 24,61,210
Least Common Multiple of Numerators i.e. LCM of 24,61,210 is 51240.
GCF of Denominators means GCF of 490,329,459 as per the given fractions.
GCF of 490,329,459 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,61,210
2 | 24, 61, 210 |
3 | 12, 61, 105 |
4, 61, 35 |
∴ So the LCM of the given numbers is 2 x 3 x 4 x 61 x 35 = 51240
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 24,61,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,61,210) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(24,61,210) x common factors =1 x 6 = 6
LCM(24,61,210) = ( 24 × 61 × 210 ) / 6
LCM(24,61,210) = 307440 / 6
LCM(24,61,210) = 51240
Lets's calculate GCF of 490,329,459
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51240/1
Therefore the LCM of Fractions 24/490,61/329,210/459 is 51240
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 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Greatest Common Factor
We found the factors 490,329,459 . The biggest common factor number is the GCF number.
So the greatest common factor 490,329,459 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 24/490, 61/329, 210/459?
Answer: LCM of Numerators as per given numbers 24/490, 61/329, 210/459 is
LCM of Numerators i.e. for 24,61,210 is 51240
GCF of denominators i.e. for 490,329,459 is 1.
Thus, LCM of Fractions is 51240.Finally, LCM of Fractions for 24/490, 61/329, 210/459 is 51240.