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LCM of 130, 150, 289, 241, 459

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 130, 150, 289, 241, 459 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 130, 150, 289, 241, 459. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 130,150,289,241,459

Given numbers are 130,150,289,241,459

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 130,150,289,241,459 is 1222339950.

Find LCM of 130,150,289,241,459 with Prime Factorization


2 130, 150, 289, 241, 459
3 65, 75, 289, 241, 459
5 65, 25, 289, 241, 153
17 13, 5, 289, 241, 153
13, 5, 17, 241, 9

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 17 x 13 x 5 x 17 x 241 x 9 = 1222339950

Therefore, the lowest common multiple of 130,150,289,241,459 is 1222339950.

LCM Formula to Find Lowest Common Multiple of 130,150,289,241,459

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

130 x 150 x 289 x 241 x 459 = 623393374500

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

130 : 1, 2, 5, 10, 13, 26, 65, 130

150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150

289 : 1, 17, 289

241 : 1, 241

459 : 1, 3, 9, 17, 27, 51, 153, 459

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 130,150,289,241,459, is 1.

Now, the common factors can be found like this.

130:2x 5x 13

150:2x 3x 5x 5

289:17x 17

241:241

459:3x 3x 3x 17

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5x 17 = 510

Therefore, the value for common factors is 510.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 623393374500/(1x510)

LCM = 623393374500/510

LCM = 1222339950

Thus, we can understand that the LCM of 130,150,289,241,459 is 1222339950.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 130, 150, 289, 241, 459

1. What is the LCM of 130, 150, 289, 241, 459?

Answer: LCM of 130, 150, 289, 241, 459 is 1222339950.

2. How to calculate the LCM of 130, 150, 289, 241, 459?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 130, 150, 289, 241, 459.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.