Given numbers are 785,125,391,512,204

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

The LCM of 785,125,391,512,204 is 11786304000.

Find LCM of 785,125,391,512,204 with Prime Factorization

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

2 x 2 x 5 x 17 x 157 x 25 x 23 x 128 x 3 = 11786304000

Therefore, the lowest common multiple of 785,125,391,512,204 is 11786304000.

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.

785 x 125 x 391 x 512 x 204 = 4007343360000

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.

785 : 1, 5, 157, 785

125 : 1, 5, 25, 125

391 : 1, 17, 23, 391

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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 785,125,391,512,204, is 1.

Now, the common factors can be found like this.

785:5x 157

125:5x 5x 5

391:17x 23

512:2x 2x 2x 2x 2x 2x 2x 2x 2

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 5x 17 = 340

Therefore, the value for common factors is 340.

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 = 4007343360000/(1x340)

LCM = 4007343360000/340

LCM = 11786304000

Thus, we can understand that the LCM of 785,125,391,512,204 is 11786304000.

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

• LCM of 810, 905, 503, 245, 873
• LCM of 889, 417, 309, 866, 799
• LCM of 105, 419, 807, 476, 277
• LCM of 663, 316, 643, 744, 138
• LCM of 626, 743, 627, 513, 638

1. What is the LCM of 785, 125, 391, 512, 204?

Answer: LCM of 785, 125, 391, 512, 204 is 11786304000.

2. How to calculate the LCM of 785, 125, 391, 512, 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 785, 125, 391, 512, 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}.