Given numbers are 990,762,596,724,362

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

The LCM of 990,762,596,724,362 is 6781624740.

Find LCM of 990,762,596,724,362 with Prime Factorization

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

2 x 2 x 3 x 181 x 165 x 127 x 149 x 1 x 1 = 6781624740

Therefore, the lowest common multiple of 990,762,596,724,362 is 6781624740.

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 762 x 596 x 724 x 362 = 117837511482240

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

762 : 1, 2, 3, 6, 127, 254, 381, 762

596 : 1, 2, 4, 149, 298, 596

724 : 1, 2, 4, 181, 362, 724

362 : 1, 2, 181, 362

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 990,762,596,724,362, is 2.

Now, the common factors can be found like this.

990:2x 3x 3x 5x 11

762:2x 3x 127

596:2x 2x 149

724:2x 2x 181

362:2x 181

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 2x 3x 181 = 8688

Therefore, the value for common factors is 8688.

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 = 117837511482240/(2x8688)

LCM = 117837511482240/17376

LCM = 6781624740

Thus, we can understand that the LCM of 990,762,596,724,362 is 6781624740.

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

• LCM of 283, 929, 202, 707, 111
• LCM of 145, 714, 581, 197, 600
• LCM of 482, 156, 786, 398, 689
• LCM of 418, 725, 254, 961, 917
• LCM of 506, 238, 310, 365, 842

1. What is the LCM of 990, 762, 596, 724, 362?

Answer: LCM of 990, 762, 596, 724, 362 is 6781624740.

2. How to calculate the LCM of 990, 762, 596, 724, 362?

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, 762, 596, 724, 362.

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}.