Given numbers are 413,460,114,323

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

The LCM of 413,460,114,323 is 184090620.

Find LCM of 413,460,114,323 with Prime Factorization

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

2 x 19 x 413 x 230 x 3 x 17 = 184090620

Therefore, the lowest common multiple of 413,460,114,323 is 184090620.

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.

413 x 460 x 114 x 323 = 6995443560

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.

413 : 1, 7, 59, 413

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

114 : 1, 2, 3, 6, 19, 38, 57, 114

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 413,460,114,323, is 1.

Now, the common factors can be found like this.

413:7x 59

460:2x 2x 5x 23

114:2x 3x 19

323:17x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 6995443560/(1x38)

LCM = 6995443560/38

LCM = 184090620

Thus, we can understand that the LCM of 413,460,114,323 is 184090620.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 222, 708, 132, 392
• LCM of 529, 427, 301, 779
• LCM of 847, 826, 282, 699
• LCM of 803, 799, 656, 240
• LCM of 485, 525, 777, 657

1. What is the LCM of 413, 460, 114, 323?

Answer: LCM of 413, 460, 114, 323 is 184090620.

2. How to calculate the LCM of 413, 460, 114, 323?

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 413, 460, 114, 323.

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}.