Given numbers are 286,472,431,497,204

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

The LCM of 286,472,431,497,204 is 737363899272.

Find LCM of 286,472,431,497,204 with Prime Factorization

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

2 x 2 x 143 x 118 x 431 x 497 x 51 = 737363899272

Therefore, the lowest common multiple of 286,472,431,497,204 is 737363899272.

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.

286 x 472 x 431 x 497 x 204 = 5898911194176

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.

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

472 : 1, 2, 4, 8, 59, 118, 236, 472

431 : 1, 431

497 : 1, 7, 71, 497

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,472,431,497,204, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

472:2x 2x 2x 59

431:431

497:7x 71

204:2x 2x 3x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 5898911194176/(1x8)

LCM = 5898911194176/8

LCM = 737363899272

Thus, we can understand that the LCM of 286,472,431,497,204 is 737363899272.

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

• LCM of 161, 184, 309, 863, 570
• LCM of 801, 720, 579, 785, 902
• LCM of 983, 859, 898, 544, 478
• LCM of 507, 572, 414, 316, 225
• LCM of 288, 753, 610, 798, 723

1. What is the LCM of 286, 472, 431, 497, 204?

Answer: LCM of 286, 472, 431, 497, 204 is 737363899272.

2. How to calculate the LCM of 286, 472, 431, 497, 204?

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 286, 472, 431, 497, 204.

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}.