Given numbers are 702,408,476,286

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

The LCM of 702,408,476,286 is 3675672.

Find LCM of 702,408,476,286 with Prime Factorization

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

2 x 2 x 3 x 13 x 17 x 9 x 2 x 7 x 11 = 3675672

Therefore, the lowest common multiple of 702,408,476,286 is 3675672.

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.

702 x 408 x 476 x 286 = 38991528576

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.

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

286 : 1, 2, 11, 13, 22, 26, 143, 286

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,408,476,286, is 2.

Now, the common factors can be found like this.

702:2x 3x 3x 3x 13

408:2x 2x 2x 3x 17

476:2x 2x 7x 17

286:2x 11x 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 3x 13x 17 = 5304

Therefore, the value for common factors is 5304.

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 = 38991528576/(2x5304)

LCM = 38991528576/10608

LCM = 3675672

Thus, we can understand that the LCM of 702,408,476,286 is 3675672.

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

• LCM of 706, 510, 567, 650
• LCM of 847, 446, 800, 903
• LCM of 226, 271, 453, 167
• LCM of 851, 290, 337, 470
• LCM of 806, 998, 574, 960

1. What is the LCM of 702, 408, 476, 286?

Answer: LCM of 702, 408, 476, 286 is 3675672.

2. How to calculate the LCM of 702, 408, 476, 286?

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 702, 408, 476, 286.

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}.