Given numbers are 928,395,128,792,194

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

The LCM of 928,395,128,792,194 is 14080302720.

Find LCM of 928,395,128,792,194 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 29 x 395 x 4 x 99 x 97 = 14080302720

Therefore, the lowest common multiple of 928,395,128,792,194 is 14080302720.

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.

928 x 395 x 128 x 792 x 194 = 7209114992640

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

395 : 1, 5, 79, 395

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

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

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,395,128,792,194, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

395:5x 79

128:2x 2x 2x 2x 2x 2x 2

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

194:2x 97

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 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 7209114992640/(1x512)

LCM = 7209114992640/512

LCM = 14080302720

Thus, we can understand that the LCM of 928,395,128,792,194 is 14080302720.

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

• LCM of 977, 937, 795, 719, 512
• LCM of 553, 679, 767, 824, 516
• LCM of 905, 184, 664, 975, 288
• LCM of 288, 753, 416, 386, 286
• LCM of 546, 823, 760, 992, 367

1. What is the LCM of 928, 395, 128, 792, 194?

Answer: LCM of 928, 395, 128, 792, 194 is 14080302720.

2. How to calculate the LCM of 928, 395, 128, 792, 194?

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 928, 395, 128, 792, 194.

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}.