Given numbers are 689,507,208,682,756

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

The LCM of 689,507,208,682,756 is 9236315088.

Find LCM of 689,507,208,682,756 with Prime Factorization

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

2 x 2 x 3 x 13 x 53 x 13 x 4 x 341 x 63 = 9236315088

Therefore, the lowest common multiple of 689,507,208,682,756 is 9236315088.

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 507 x 208 x 682 x 756 = 37462493996928

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

507 : 1, 3, 13, 39, 169, 507

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

682 : 1, 2, 11, 22, 31, 62, 341, 682

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,507,208,682,756, is 1.

Now, the common factors can be found like this.

689:13x 53

507:3x 13x 13

208:2x 2x 2x 2x 13

682:2x 11x 31

756:2x 2x 3x 3x 3x 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 2x 2x 3x 13x 13 = 4056

Therefore, the value for common factors is 4056.

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 = 37462493996928/(1x4056)

LCM = 37462493996928/4056

LCM = 9236315088

Thus, we can understand that the LCM of 689,507,208,682,756 is 9236315088.

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

• LCM of 403, 908, 772, 514, 703
• LCM of 507, 976, 399, 308, 326
• LCM of 412, 800, 870, 117, 607
• LCM of 180, 935, 802, 147, 309
• LCM of 900, 546, 711, 557, 626

1. What is the LCM of 689, 507, 208, 682, 756?

Answer: LCM of 689, 507, 208, 682, 756 is 9236315088.

2. How to calculate the LCM of 689, 507, 208, 682, 756?

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, 507, 208, 682, 756.

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}.