Given numbers are 598,610,432,494,966

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

The LCM of 598,610,432,494,966 is 5239699920.

Find LCM of 598,610,432,494,966 with Prime Factorization

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

2 x 3 x 13 x 23 x 1 x 305 x 72 x 19 x 7 = 5239699920

Therefore, the lowest common multiple of 598,610,432,494,966 is 5239699920.

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.

598 x 610 x 432 x 494 x 966 = 75200173251840

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

610 : 1, 2, 5, 10, 61, 122, 305, 610

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

494 : 1, 2, 13, 19, 26, 38, 247, 494

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,610,432,494,966, is 2.

Now, the common factors can be found like this.

598:2x 13x 23

610:2x 5x 61

432:2x 2x 2x 2x 3x 3x 3

494:2x 13x 19

966:2x 3x 7x 23

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 2x 3x 13x 23 = 7176

Therefore, the value for common factors is 7176.

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 = 75200173251840/(2x7176)

LCM = 75200173251840/14352

LCM = 5239699920

Thus, we can understand that the LCM of 598,610,432,494,966 is 5239699920.

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

• LCM of 899, 828, 811, 165, 664
• LCM of 227, 502, 222, 280, 845
• LCM of 856, 593, 142, 802, 765
• LCM of 633, 766, 591, 379, 271
• LCM of 706, 399, 941, 131, 335

1. What is the LCM of 598, 610, 432, 494, 966?

Answer: LCM of 598, 610, 432, 494, 966 is 5239699920.

2. How to calculate the LCM of 598, 610, 432, 494, 966?

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 598, 610, 432, 494, 966.

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}.