Given numbers are 648,380,701,331

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

The LCM of 648,380,701,331 is 14283828360.

Find LCM of 648,380,701,331 with Prime Factorization

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

2 x 2 x 162 x 95 x 701 x 331 = 14283828360

Therefore, the lowest common multiple of 648,380,701,331 is 14283828360.

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.

648 x 380 x 701 x 331 = 57135313440

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.

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

701 : 1, 701

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 648,380,701,331, is 1.

Now, the common factors can be found like this.

648:2x 2x 2x 3x 3x 3x 3

380:2x 2x 5x 19

701:701

331:331

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 = 57135313440/(1x4)

LCM = 57135313440/4

LCM = 14283828360

Thus, we can understand that the LCM of 648,380,701,331 is 14283828360.

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

• LCM of 336, 237, 720, 599
• LCM of 344, 319, 545, 410
• LCM of 602, 500, 337, 770
• LCM of 755, 673, 357, 419
• LCM of 562, 113, 864, 914

1. What is the LCM of 648, 380, 701, 331?

Answer: LCM of 648, 380, 701, 331 is 14283828360.

2. How to calculate the LCM of 648, 380, 701, 331?

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 648, 380, 701, 331.

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}.