Given numbers are 317,506,382,738

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

The LCM of 317,506,382,738 is 11304972558.

Find LCM of 317,506,382,738 with Prime Factorization

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

2 x 317 x 253 x 191 x 369 = 11304972558

Therefore, the lowest common multiple of 317,506,382,738 is 11304972558.

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.

317 x 506 x 382 x 738 = 45219890232

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.

317 : 1, 317

506 : 1, 2, 11, 22, 23, 46, 253, 506

382 : 1, 2, 191, 382

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,506,382,738, is 1.

Now, the common factors can be found like this.

317:317

506:2x 11x 23

382:2x 191

738:2x 3x 3x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 45219890232/(1x4)

LCM = 45219890232/4

LCM = 11304972558

Thus, we can understand that the LCM of 317,506,382,738 is 11304972558.

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

• LCM of 891, 317, 710, 328
• LCM of 346, 810, 328, 377
• LCM of 649, 149, 808, 760
• LCM of 570, 474, 718, 616
• LCM of 928, 803, 880, 201

1. What is the LCM of 317, 506, 382, 738?

Answer: LCM of 317, 506, 382, 738 is 11304972558.

2. How to calculate the LCM of 317, 506, 382, 738?

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 317, 506, 382, 738.

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}.