Given numbers are 407,368,283,790

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

The LCM of 407,368,283,790 is 16742710160.

Find LCM of 407,368,283,790 with Prime Factorization

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

2 x 407 x 184 x 283 x 395 = 16742710160

Therefore, the lowest common multiple of 407,368,283,790 is 16742710160.

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.

407 x 368 x 283 x 790 = 33485420320

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.

407 : 1, 11, 37, 407

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

283 : 1, 283

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,368,283,790, is 1.

Now, the common factors can be found like this.

407:11x 37

368:2x 2x 2x 2x 23

283:283

790:2x 5x 79

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

2 = 2

Therefore, the value for common factors is 2.

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 = 33485420320/(1x2)

LCM = 33485420320/2

LCM = 16742710160

Thus, we can understand that the LCM of 407,368,283,790 is 16742710160.

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

• LCM of 577, 619, 357, 997
• LCM of 829, 228, 420, 247
• LCM of 540, 146, 328, 391
• LCM of 785, 177, 170, 352
• LCM of 996, 422, 573, 448

1. What is the LCM of 407, 368, 283, 790?

Answer: LCM of 407, 368, 283, 790 is 16742710160.

2. How to calculate the LCM of 407, 368, 283, 790?

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 407, 368, 283, 790.

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}.