Given numbers are 482,684,214,493,784

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

The LCM of 482,684,214,493,784 is 1704354425424.

Find LCM of 482,684,214,493,784 with Prime Factorization

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

2 x 2 x 241 x 171 x 107 x 493 x 196 = 1704354425424

Therefore, the lowest common multiple of 482,684,214,493,784 is 1704354425424.

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.

482 x 684 x 214 x 493 x 784 = 27269670806784

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.

482 : 1, 2, 241, 482

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

214 : 1, 2, 107, 214

493 : 1, 17, 29, 493

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 482,684,214,493,784, is 1.

Now, the common factors can be found like this.

482:2x 241

684:2x 2x 3x 3x 19

214:2x 107

493:17x 29

784:2x 2x 2x 2x 7x 7

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 2 = 16

Therefore, the value for common factors is 16.

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 = 27269670806784/(1x16)

LCM = 27269670806784/16

LCM = 1704354425424

Thus, we can understand that the LCM of 482,684,214,493,784 is 1704354425424.

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

• LCM of 528, 491, 637, 505, 597
• LCM of 464, 356, 746, 756, 947
• LCM of 439, 970, 479, 786, 750
• LCM of 596, 178, 471, 829, 791
• LCM of 620, 651, 329, 619, 614

1. What is the LCM of 482, 684, 214, 493, 784?

Answer: LCM of 482, 684, 214, 493, 784 is 1704354425424.

2. How to calculate the LCM of 482, 684, 214, 493, 784?

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 482, 684, 214, 493, 784.

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}.