Given numbers are 487,686,204,782

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

The LCM of 487,686,204,782 is 783756372.

Find LCM of 487,686,204,782 with Prime Factorization

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

2 x 17 x 487 x 343 x 6 x 23 = 783756372

Therefore, the lowest common multiple of 487,686,204,782 is 783756372.

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.

487 x 686 x 204 x 782 = 53295433296

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.

487 : 1, 487

686 : 1, 2, 7, 14, 49, 98, 343, 686

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

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,686,204,782, is 1.

Now, the common factors can be found like this.

487:487

686:2x 7x 7x 7

204:2x 2x 3x 17

782:2x 17x 23

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 17 = 68

Therefore, the value for common factors is 68.

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 = 53295433296/(1x68)

LCM = 53295433296/68

LCM = 783756372

Thus, we can understand that the LCM of 487,686,204,782 is 783756372.

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

• LCM of 888, 108, 325, 211
• LCM of 851, 645, 834, 428
• LCM of 315, 778, 811, 544
• LCM of 753, 632, 807, 868
• LCM of 388, 260, 422, 557

1. What is the LCM of 487, 686, 204, 782?

Answer: LCM of 487, 686, 204, 782 is 783756372.

2. How to calculate the LCM of 487, 686, 204, 782?

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 487, 686, 204, 782.

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}.