Given numbers are 840,636,364,214,286

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

The LCM of 840,636,364,214,286 is 681200520.

Find LCM of 840,636,364,214,286 with Prime Factorization

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

2 x 2 x 3 x 7 x 13 x 10 x 53 x 1 x 107 x 11 = 681200520

Therefore, the lowest common multiple of 840,636,364,214,286 is 681200520.

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.

840 x 636 x 364 x 214 x 286 = 11901935485440

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.

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

214 : 1, 2, 107, 214

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 840,636,364,214,286, is 2.

Now, the common factors can be found like this.

840:2x 2x 2x 3x 5x 7

636:2x 2x 3x 53

364:2x 2x 7x 13

214:2x 107

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 2x 2x 3x 7x 13 = 8736

Therefore, the value for common factors is 8736.

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 = 11901935485440/(2x8736)

LCM = 11901935485440/17472

LCM = 681200520

Thus, we can understand that the LCM of 840,636,364,214,286 is 681200520.

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

• LCM of 386, 956, 861, 727, 704
• LCM of 772, 320, 896, 168, 582
• LCM of 982, 832, 591, 307, 105
• LCM of 386, 389, 480, 333, 454
• LCM of 657, 574, 707, 784, 864

1. What is the LCM of 840, 636, 364, 214, 286?

Answer: LCM of 840, 636, 364, 214, 286 is 681200520.

2. How to calculate the LCM of 840, 636, 364, 214, 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 840, 636, 364, 214, 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}.