Given numbers are 391,506,230,368

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

The LCM of 391,506,230,368 is 344080.

Find LCM of 391,506,230,368 with Prime Factorization

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

2 x 23 x 17 x 11 x 5 x 8 = 344080

Therefore, the lowest common multiple of 391,506,230,368 is 344080.

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.

391 x 506 x 230 x 368 = 16745685440

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.

391 : 1, 17, 23, 391

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

230 : 1, 2, 5, 10, 23, 46, 115, 230

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

23 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,506,230,368, is 23.

Now, the common factors can be found like this.

391:17x 23

506:2x 11x 23

230:2x 5x 23

368:2x 2x 2x 2x 23

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 23x 23 = 2116

Therefore, the value for common factors is 2116.

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 = 16745685440/(23x2116)

LCM = 16745685440/48668

LCM = 344080

Thus, we can understand that the LCM of 391,506,230,368 is 344080.

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

• LCM of 350, 767, 451, 290
• LCM of 263, 755, 799, 349
• LCM of 496, 786, 392, 511
• LCM of 214, 400, 327, 422
• LCM of 380, 629, 175, 521

1. What is the LCM of 391, 506, 230, 368?

Answer: LCM of 391, 506, 230, 368 is 344080.

2. How to calculate the LCM of 391, 506, 230, 368?

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 391, 506, 230, 368.

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}.