Given numbers are 326,389,395,688,882

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

The LCM of 326,389,395,688,882 is 7599085467120.

Find LCM of 326,389,395,688,882 with Prime Factorization

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

2 x 163 x 389 x 395 x 344 x 441 = 7599085467120

Therefore, the lowest common multiple of 326,389,395,688,882 is 7599085467120.

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.

326 x 389 x 395 x 688 x 882 = 30396341868480

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.

326 : 1, 2, 163, 326

389 : 1, 389

395 : 1, 5, 79, 395

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,389,395,688,882, is 1.

Now, the common factors can be found like this.

326:2x 163

389:389

395:5x 79

688:2x 2x 2x 2x 43

882:2x 3x 3x 7x 7

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 30396341868480/(1x4)

LCM = 30396341868480/4

LCM = 7599085467120

Thus, we can understand that the LCM of 326,389,395,688,882 is 7599085467120.

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

• LCM of 797, 450, 309, 860, 624
• LCM of 279, 458, 287, 737, 388
• LCM of 193, 107, 112, 510, 171
• LCM of 344, 614, 665, 320, 659
• LCM of 828, 716, 305, 275, 576

1. What is the LCM of 326, 389, 395, 688, 882?

Answer: LCM of 326, 389, 395, 688, 882 is 7599085467120.

2. How to calculate the LCM of 326, 389, 395, 688, 882?

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 326, 389, 395, 688, 882.

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}.