Given numbers are 289,214,203,792,612

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

The LCM of 289,214,203,792,612 is 4971676248.

Find LCM of 289,214,203,792,612 with Prime Factorization

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

2 x 2 x 3 x 3 x 17 x 1 x 107 x 203 x 22 x 17 = 4971676248

Therefore, the lowest common multiple of 289,214,203,792,612 is 4971676248.

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 214 x 203 x 792 x 612 = 6085331727552

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

214 : 1, 2, 107, 214

203 : 1, 7, 29, 203

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,214,203,792,612, is 1.

Now, the common factors can be found like this.

289:17x 17

214:2x 107

203:7x 29

792:2x 2x 2x 3x 3x 11

612:2x 2x 3x 3x 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 2x 2x 3x 3x 17 = 1224

Therefore, the value for common factors is 1224.

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 = 6085331727552/(1x1224)

LCM = 6085331727552/1224

LCM = 4971676248

Thus, we can understand that the LCM of 289,214,203,792,612 is 4971676248.

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

• LCM of 668, 299, 628, 186, 178
• LCM of 819, 390, 697, 468, 379
• LCM of 704, 856, 313, 344, 685
• LCM of 446, 595, 640, 500, 667
• LCM of 162, 834, 340, 378, 582

1. What is the LCM of 289, 214, 203, 792, 612?

Answer: LCM of 289, 214, 203, 792, 612 is 4971676248.

2. How to calculate the LCM of 289, 214, 203, 792, 612?

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, 214, 203, 792, 612.

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}.