Given numbers are 290,284,218,642,764

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

The LCM of 290,284,218,642,764 is 275201780820.

Find LCM of 290,284,218,642,764 with Prime Factorization

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

2 x 2 x 145 x 71 x 109 x 321 x 191 = 275201780820

Therefore, the lowest common multiple of 290,284,218,642,764 is 275201780820.

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.

290 x 284 x 218 x 642 x 764 = 8806456986240

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.

290 : 1, 2, 5, 10, 29, 58, 145, 290

284 : 1, 2, 4, 71, 142, 284

218 : 1, 2, 109, 218

642 : 1, 2, 3, 6, 107, 214, 321, 642

764 : 1, 2, 4, 191, 382, 764

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 290,284,218,642,764, is 2.

Now, the common factors can be found like this.

290:2x 5x 29

284:2x 2x 71

218:2x 109

642:2x 3x 107

764:2x 2x 191

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 2 = 16

Therefore, the value for common factors is 16.

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 = 8806456986240/(2x16)

LCM = 8806456986240/32

LCM = 275201780820

Thus, we can understand that the LCM of 290,284,218,642,764 is 275201780820.

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

• LCM of 153, 435, 145, 432, 673
• LCM of 884, 425, 976, 152, 912
• LCM of 484, 315, 886, 687, 596
• LCM of 875, 526, 740, 978, 504
• LCM of 690, 416, 499, 667, 682

1. What is the LCM of 290, 284, 218, 642, 764?

Answer: LCM of 290, 284, 218, 642, 764 is 275201780820.

2. How to calculate the LCM of 290, 284, 218, 642, 764?

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 290, 284, 218, 642, 764.

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}.