Given numbers are 289,319,444,406

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

The LCM of 289,319,444,406 is 286529628.

Find LCM of 289,319,444,406 with Prime Factorization

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

2 x 29 x 289 x 11 x 222 x 7 = 286529628

Therefore, the lowest common multiple of 289,319,444,406 is 286529628.

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.

289 x 319 x 444 x 406 = 16618718424

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.

289 : 1, 17, 289

319 : 1, 11, 29, 319

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,319,444,406, is 1.

Now, the common factors can be found like this.

289:17x 17

319:11x 29

444:2x 2x 3x 37

406:2x 7x 29

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 16618718424/(1x58)

LCM = 16618718424/58

LCM = 286529628

Thus, we can understand that the LCM of 289,319,444,406 is 286529628.

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

• LCM of 752, 155, 360, 347
• LCM of 164, 335, 755, 975
• LCM of 936, 341, 337, 977
• LCM of 419, 272, 172, 199
• LCM of 319, 798, 947, 667

1. What is the LCM of 289, 319, 444, 406?

Answer: LCM of 289, 319, 444, 406 is 286529628.

2. How to calculate the LCM of 289, 319, 444, 406?

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 289, 319, 444, 406.

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}.