Given numbers are 590,402,489,990,409

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

The LCM of 590,402,489,990,409 is 260899304490.

Find LCM of 590,402,489,990,409 with Prime Factorization

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

2 x 3 x 5 x 59 x 67 x 163 x 33 x 409 = 260899304490

Therefore, the lowest common multiple of 590,402,489,990,409 is 260899304490.

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.

590 x 402 x 489 x 990 x 409 = 46961874808200

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.

590 : 1, 2, 5, 10, 59, 118, 295, 590

402 : 1, 2, 3, 6, 67, 134, 201, 402

489 : 1, 3, 163, 489

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

409 : 1, 409

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,402,489,990,409, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

402:2x 3x 67

489:3x 163

990:2x 3x 3x 5x 11

409:409

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

2x 2x 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 46961874808200/(1x180)

LCM = 46961874808200/180

LCM = 260899304490

Thus, we can understand that the LCM of 590,402,489,990,409 is 260899304490.

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

• LCM of 415, 954, 724, 954, 848
• LCM of 501, 483, 625, 677, 281
• LCM of 415, 160, 948, 604, 263
• LCM of 345, 385, 938, 991, 956
• LCM of 388, 939, 129, 881, 306

1. What is the LCM of 590, 402, 489, 990, 409?

Answer: LCM of 590, 402, 489, 990, 409 is 260899304490.

2. How to calculate the LCM of 590, 402, 489, 990, 409?

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 590, 402, 489, 990, 409.

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}.