Given numbers are 689,684,641,305,399

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

The LCM of 689,684,641,305,399 is 644957700660.

Find LCM of 689,684,641,305,399 with Prime Factorization

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

3 x 19 x 689 x 12 x 641 x 305 x 7 = 644957700660

Therefore, the lowest common multiple of 689,684,641,305,399 is 644957700660.

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.

689 x 684 x 641 x 305 x 399 = 36762588937620

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.

689 : 1, 13, 53, 689

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

641 : 1, 641

305 : 1, 5, 61, 305

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,684,641,305,399, is 1.

Now, the common factors can be found like this.

689:13x 53

684:2x 2x 3x 3x 19

641:641

305:5x 61

399:3x 7x 19

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

3x 19 = 57

Therefore, the value for common factors is 57.

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 = 36762588937620/(1x57)

LCM = 36762588937620/57

LCM = 644957700660

Thus, we can understand that the LCM of 689,684,641,305,399 is 644957700660.

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

• LCM of 298, 515, 945, 262, 396
• LCM of 517, 603, 847, 436, 112
• LCM of 154, 118, 156, 385, 151
• LCM of 328, 272, 737, 695, 103
• LCM of 635, 200, 724, 770, 466

1. What is the LCM of 689, 684, 641, 305, 399?

Answer: LCM of 689, 684, 641, 305, 399 is 644957700660.

2. How to calculate the LCM of 689, 684, 641, 305, 399?

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 689, 684, 641, 305, 399.

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}.