Given numbers are 488,389,623,351,208

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

The LCM of 488,389,623,351,208 is 83022265872.

Find LCM of 488,389,623,351,208 with Prime Factorization

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

2 x 2 x 2 x 13 x 61 x 389 x 623 x 27 x 2 = 83022265872

Therefore, the lowest common multiple of 488,389,623,351,208 is 83022265872.

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.

488 x 389 x 623 x 351 x 208 = 8634315650688

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

389 : 1, 389

623 : 1, 7, 89, 623

351 : 1, 3, 9, 13, 27, 39, 117, 351

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,389,623,351,208, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

389:389

623:7x 89

351:3x 3x 3x 13

208:2x 2x 2x 2x 13

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 13 = 104

Therefore, the value for common factors is 104.

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 = 8634315650688/(1x104)

LCM = 8634315650688/104

LCM = 83022265872

Thus, we can understand that the LCM of 488,389,623,351,208 is 83022265872.

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

• LCM of 443, 477, 902, 731, 618
• LCM of 804, 496, 557, 406, 768
• LCM of 297, 265, 589, 623, 968
• LCM of 943, 595, 187, 417, 507
• LCM of 282, 414, 647, 895, 677

1. What is the LCM of 488, 389, 623, 351, 208?

Answer: LCM of 488, 389, 623, 351, 208 is 83022265872.

2. How to calculate the LCM of 488, 389, 623, 351, 208?

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 488, 389, 623, 351, 208.

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}.