Given numbers are 317,437,312,334,486

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

The LCM of 317,437,312,334,486 is 584651116296.

Find LCM of 317,437,312,334,486 with Prime Factorization

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

2 x 3 x 317 x 437 x 52 x 167 x 81 = 584651116296

Therefore, the lowest common multiple of 317,437,312,334,486 is 584651116296.

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 437 x 312 x 334 x 486 = 7015813395552

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

437 : 1, 19, 23, 437

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

334 : 1, 2, 167, 334

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,437,312,334,486, is 1.

Now, the common factors can be found like this.

317:317

437:19x 23

312:2x 2x 2x 3x 13

334:2x 167

486:2x 3x 3x 3x 3x 3

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 3 = 12

Therefore, the value for common factors is 12.

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 = 7015813395552/(1x12)

LCM = 7015813395552/12

LCM = 584651116296

Thus, we can understand that the LCM of 317,437,312,334,486 is 584651116296.

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

• LCM of 149, 736, 744, 227, 567
• LCM of 272, 624, 711, 315, 767
• LCM of 220, 574, 709, 626, 703
• LCM of 151, 145, 795, 925, 365
• LCM of 544, 406, 726, 429, 307

1. What is the LCM of 317, 437, 312, 334, 486?

Answer: LCM of 317, 437, 312, 334, 486 is 584651116296.

2. How to calculate the LCM of 317, 437, 312, 334, 486?

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, 437, 312, 334, 486.

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}.