Given numbers are 990,912,609,460,489

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

The LCM of 990,912,609,460,489 is 114522352560.

Find LCM of 990,912,609,460,489 with Prime Factorization

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

2 x 2 x 3 x 5 x 33 x 76 x 203 x 23 x 163 = 114522352560

Therefore, the lowest common multiple of 990,912,609,460,489 is 114522352560.

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.

990 x 912 x 609 x 460 x 489 = 123684140764800

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.

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

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

609 : 1, 3, 7, 21, 29, 87, 203, 609

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

489 : 1, 3, 163, 489

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,912,609,460,489, is 1.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

912:2x 2x 2x 2x 3x 19

609:3x 7x 29

460:2x 2x 5x 23

489:3x 163

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 3x 3x 5 = 1080

Therefore, the value for common factors is 1080.

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 = 123684140764800/(1x1080)

LCM = 123684140764800/1080

LCM = 114522352560

Thus, we can understand that the LCM of 990,912,609,460,489 is 114522352560.

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

• LCM of 226, 718, 338, 150, 471
• LCM of 402, 229, 102, 712, 567
• LCM of 217, 428, 442, 771, 921
• LCM of 851, 355, 565, 351, 542
• LCM of 505, 711, 280, 703, 263

1. What is the LCM of 990, 912, 609, 460, 489?

Answer: LCM of 990, 912, 609, 460, 489 is 114522352560.

2. How to calculate the LCM of 990, 912, 609, 460, 489?

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 990, 912, 609, 460, 489.

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}.