Given numbers are 257,258,581,990,762

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

The LCM of 257,258,581,990,762 is 807265935630.

Find LCM of 257,258,581,990,762 with Prime Factorization

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

2 x 3 x 257 x 43 x 581 x 165 x 127 = 807265935630

Therefore, the lowest common multiple of 257,258,581,990,762 is 807265935630.

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.

257 x 258 x 581 x 990 x 762 = 29061573682680

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.

257 : 1, 257

258 : 1, 2, 3, 6, 43, 86, 129, 258

581 : 1, 7, 83, 581

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,258,581,990,762, is 1.

Now, the common factors can be found like this.

257:257

258:2x 3x 43

581:7x 83

990:2x 3x 3x 5x 11

762:2x 3x 127

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 3 = 36

Therefore, the value for common factors is 36.

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 = 29061573682680/(1x36)

LCM = 29061573682680/36

LCM = 807265935630

Thus, we can understand that the LCM of 257,258,581,990,762 is 807265935630.

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

• LCM of 611, 817, 877, 640, 859
• LCM of 599, 768, 981, 241, 526
• LCM of 899, 295, 977, 375, 862
• LCM of 799, 813, 984, 494, 193
• LCM of 764, 570, 484, 852, 218

1. What is the LCM of 257, 258, 581, 990, 762?

Answer: LCM of 257, 258, 581, 990, 762 is 807265935630.

2. How to calculate the LCM of 257, 258, 581, 990, 762?

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 257, 258, 581, 990, 762.

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}.