Least Common Multiple of 24/490, 61/329, 210/459

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

LCM of 24/490, 61/329, 210/459

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 24/490,61/329,210/459

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

LCM of Fractions 24/490,61/329,210/459 is 51240

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

Least Common Multiple of 24,61,210 with GCF Formula

Least Common Multiple of 24,61,210 with GCF Formula

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

Greatest Common Factor of 490,329,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 490,329,459 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 24/490, 61/329, 210/459

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.