Given numbers are 208,395,650,468

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

The LCM of 208,395,650,468 is 3697200.

Find LCM of 208,395,650,468 with Prime Factorization

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

2 x 2 x 5 x 13 x 4 x 79 x 5 x 9 = 3697200

Therefore, the lowest common multiple of 208,395,650,468 is 3697200.

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.

208 x 395 x 650 x 468 = 24993072000

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

395 : 1, 5, 79, 395

650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,395,650,468, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

395:5x 79

650:2x 5x 5x 13

468:2x 2x 3x 3x 13

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 2x 5x 13x 13 = 6760

Therefore, the value for common factors is 6760.

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 = 24993072000/(1x6760)

LCM = 24993072000/6760

LCM = 3697200

Thus, we can understand that the LCM of 208,395,650,468 is 3697200.

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

• LCM of 554, 265, 754, 150
• LCM of 488, 560, 308, 469
• LCM of 287, 223, 137, 392
• LCM of 148, 218, 225, 320
• LCM of 877, 704, 162, 250

1. What is the LCM of 208, 395, 650, 468?

Answer: LCM of 208, 395, 650, 468 is 3697200.

2. How to calculate the LCM of 208, 395, 650, 468?

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 208, 395, 650, 468.

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}.