Given numbers are 901,489,990,864

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

The LCM of 901,489,990,864 is 6978929760.

Find LCM of 901,489,990,864 with Prime Factorization

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

2 x 3 x 3 x 901 x 163 x 55 x 48 = 6978929760

Therefore, the lowest common multiple of 901,489,990,864 is 6978929760.

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.

901 x 489 x 990 x 864 = 376862207040

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.

901 : 1, 17, 53, 901

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

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,489,990,864, is 1.

Now, the common factors can be found like this.

901:17x 53

489:3x 163

990:2x 3x 3x 5x 11

864:2x 2x 2x 2x 2x 3x 3x 3

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 376862207040/(1x54)

LCM = 376862207040/54

LCM = 6978929760

Thus, we can understand that the LCM of 901,489,990,864 is 6978929760.

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

• LCM of 572, 666, 309, 507
• LCM of 193, 848, 776, 234
• LCM of 983, 932, 143, 476
• LCM of 388, 167, 274, 863
• LCM of 862, 428, 638, 189

1. What is the LCM of 901, 489, 990, 864?

Answer: LCM of 901, 489, 990, 864 is 6978929760.

2. How to calculate the LCM of 901, 489, 990, 864?

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 901, 489, 990, 864.

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}.