Given numbers are 460,656,865,940,428

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

The LCM of 460,656,865,940,428 is 65634082480.

Find LCM of 460,656,865,940,428 with Prime Factorization

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

2 x 2 x 5 x 23 x 164 x 173 x 47 x 107 = 65634082480

Therefore, the lowest common multiple of 460,656,865,940,428 is 65634082480.

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.

460 x 656 x 865 x 940 x 428 = 105014531968000

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

865 : 1, 5, 173, 865

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,656,865,940,428, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

656:2x 2x 2x 2x 41

865:5x 173

940:2x 2x 5x 47

428:2x 2x 107

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 2x 5x 5 = 1600

Therefore, the value for common factors is 1600.

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 = 105014531968000/(1x1600)

LCM = 105014531968000/1600

LCM = 65634082480

Thus, we can understand that the LCM of 460,656,865,940,428 is 65634082480.

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

• LCM of 599, 316, 188, 308, 538
• LCM of 634, 389, 739, 241, 533
• LCM of 636, 189, 433, 378, 416
• LCM of 763, 437, 470, 229, 344
• LCM of 562, 512, 611, 189, 160

1. What is the LCM of 460, 656, 865, 940, 428?

Answer: LCM of 460, 656, 865, 940, 428 is 65634082480.

2. How to calculate the LCM of 460, 656, 865, 940, 428?

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 460, 656, 865, 940, 428.

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}.