Given numbers are 784,792,944,253,341

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

The LCM of 784,792,944,253,341 is 3265072272.

Find LCM of 784,792,944,253,341 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 49 x 9 x 59 x 23 x 31 = 3265072272

Therefore, the lowest common multiple of 784,792,944,253,341 is 3265072272.

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.

784 x 792 x 944 x 253 x 341 = 50569439348736

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.

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

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944

253 : 1, 11, 23, 253

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,792,944,253,341, is 1.

Now, the common factors can be found like this.

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

792:2x 2x 2x 3x 3x 11

944:2x 2x 2x 2x 59

253:11x 23

341:11x 31

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 2x 11x 11 = 15488

Therefore, the value for common factors is 15488.

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 = 50569439348736/(1x15488)

LCM = 50569439348736/15488

LCM = 3265072272

Thus, we can understand that the LCM of 784,792,944,253,341 is 3265072272.

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

• LCM of 667, 447, 333, 820, 661
• LCM of 907, 326, 298, 542, 233
• LCM of 737, 735, 856, 844, 254
• LCM of 961, 591, 815, 249, 156
• LCM of 537, 614, 769, 638, 499

1. What is the LCM of 784, 792, 944, 253, 341?

Answer: LCM of 784, 792, 944, 253, 341 is 3265072272.

2. How to calculate the LCM of 784, 792, 944, 253, 341?

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 784, 792, 944, 253, 341.

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}.