Given numbers are 460,482,369,213

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

The LCM of 460,482,369,213 is 2904421140.

Find LCM of 460,482,369,213 with Prime Factorization

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

2 x 3 x 230 x 241 x 123 x 71 = 2904421140

Therefore, the lowest common multiple of 460,482,369,213 is 2904421140.

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.

460 x 482 x 369 x 213 = 17426526840

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.

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

482 : 1, 2, 241, 482

369 : 1, 3, 9, 41, 123, 369

213 : 1, 3, 71, 213

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,482,369,213, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

482:2x 241

369:3x 3x 41

213:3x 71

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 17426526840/(1x6)

LCM = 17426526840/6

LCM = 2904421140

Thus, we can understand that the LCM of 460,482,369,213 is 2904421140.

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

• LCM of 882, 150, 108, 564
• LCM of 184, 354, 731, 375
• LCM of 633, 963, 869, 538
• LCM of 301, 306, 537, 237
• LCM of 634, 160, 738, 961

1. What is the LCM of 460, 482, 369, 213?

Answer: LCM of 460, 482, 369, 213 is 2904421140.

2. How to calculate the LCM of 460, 482, 369, 213?

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 460, 482, 369, 213.

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}.