Given numbers are 177,966,792,394,642

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

The LCM of 177,966,792,394,642 is 158581701432.

Find LCM of 177,966,792,394,642 with Prime Factorization

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

2 x 3 x 59 x 161 x 132 x 197 x 107 = 158581701432

Therefore, the lowest common multiple of 177,966,792,394,642 is 158581701432.

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.

177 x 966 x 792 x 394 x 642 = 34253647509312

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.

177 : 1, 3, 59, 177

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

394 : 1, 2, 197, 394

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,966,792,394,642, is 1.

Now, the common factors can be found like this.

177:3x 59

966:2x 3x 7x 23

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

394:2x 197

642:2x 3x 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 3x 3x 3 = 216

Therefore, the value for common factors is 216.

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 = 34253647509312/(1x216)

LCM = 34253647509312/216

LCM = 158581701432

Thus, we can understand that the LCM of 177,966,792,394,642 is 158581701432.

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

• LCM of 401, 461, 362, 412, 707
• LCM of 362, 628, 664, 292, 593
• LCM of 716, 189, 366, 106, 500
• LCM of 898, 350, 679, 334, 763
• LCM of 633, 607, 905, 632, 813

1. What is the LCM of 177, 966, 792, 394, 642?

Answer: LCM of 177, 966, 792, 394, 642 is 158581701432.

2. How to calculate the LCM of 177, 966, 792, 394, 642?

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 177, 966, 792, 394, 642.

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}.