Given numbers are 696,457,388,765,208

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

The LCM of 696,457,388,765,208 is 204555283920.

Find LCM of 696,457,388,765,208 with Prime Factorization

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

2 x 2 x 2 x 3 x 29 x 457 x 97 x 255 x 26 = 204555283920

Therefore, the lowest common multiple of 696,457,388,765,208 is 204555283920.

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.

696 x 457 x 388 x 765 x 208 = 19637307256320

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.

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

457 : 1, 457

388 : 1, 2, 4, 97, 194, 388

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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 696,457,388,765,208, is 1.

Now, the common factors can be found like this.

696:2x 2x 2x 3x 29

457:457

388:2x 2x 97

765:3x 3x 5x 17

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 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 19637307256320/(1x96)

LCM = 19637307256320/96

LCM = 204555283920

Thus, we can understand that the LCM of 696,457,388,765,208 is 204555283920.

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

• LCM of 376, 569, 886, 889, 730
• LCM of 229, 678, 900, 238, 673
• LCM of 692, 694, 636, 152, 363
• LCM of 224, 462, 830, 489, 792
• LCM of 779, 249, 620, 321, 766

1. What is the LCM of 696, 457, 388, 765, 208?

Answer: LCM of 696, 457, 388, 765, 208 is 204555283920.

2. How to calculate the LCM of 696, 457, 388, 765, 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 696, 457, 388, 765, 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}.