Given numbers are 746,792,364,323

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

The LCM of 746,792,364,323 is 8683162488.

Find LCM of 746,792,364,323 with Prime Factorization

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

2 x 2 x 373 x 198 x 91 x 323 = 8683162488

Therefore, the lowest common multiple of 746,792,364,323 is 8683162488.

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.

746 x 792 x 364 x 323 = 69465299904

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.

746 : 1, 2, 373, 746

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 746,792,364,323, is 1.

Now, the common factors can be found like this.

746:2x 373

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

364:2x 2x 7x 13

323:17x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 69465299904/(1x8)

LCM = 69465299904/8

LCM = 8683162488

Thus, we can understand that the LCM of 746,792,364,323 is 8683162488.

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

• LCM of 551, 974, 714, 172
• LCM of 928, 870, 963, 139
• LCM of 553, 934, 522, 392
• LCM of 628, 228, 560, 865
• LCM of 502, 473, 601, 466

1. What is the LCM of 746, 792, 364, 323?

Answer: LCM of 746, 792, 364, 323 is 8683162488.

2. How to calculate the LCM of 746, 792, 364, 323?

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 746, 792, 364, 323.

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}.