Given numbers are 390,272,259,221

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

The LCM of 390,272,259,221 is 13737360.

Find LCM of 390,272,259,221 with Prime Factorization

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

2 x 13 x 17 x 15 x 8 x 259 x 1 = 13737360

Therefore, the lowest common multiple of 390,272,259,221 is 13737360.

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.

390 x 272 x 259 x 221 = 6071913120

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

259 : 1, 7, 37, 259

221 : 1, 13, 17, 221

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,272,259,221, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

272:2x 2x 2x 2x 17

259:7x 37

221:13x 17

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

2x 13x 17 = 442

Therefore, the value for common factors is 442.

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 = 6071913120/(1x442)

LCM = 6071913120/442

LCM = 13737360

Thus, we can understand that the LCM of 390,272,259,221 is 13737360.

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

• LCM of 690, 211, 693, 352
• LCM of 555, 860, 902, 492
• LCM of 250, 996, 416, 320
• LCM of 141, 626, 978, 245
• LCM of 385, 872, 671, 608

1. What is the LCM of 390, 272, 259, 221?

Answer: LCM of 390, 272, 259, 221 is 13737360.

2. How to calculate the LCM of 390, 272, 259, 221?

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 390, 272, 259, 221.

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}.