Given numbers are 217,874,867,289

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

The LCM of 217,874,867,289 is 164433486.

Find LCM of 217,874,867,289 with Prime Factorization

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

17 x 17 x 217 x 874 x 3 x 1 = 164433486

Therefore, the lowest common multiple of 217,874,867,289 is 164433486.

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.

217 x 874 x 867 x 289 = 47521277454

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.

217 : 1, 7, 31, 217

874 : 1, 2, 19, 23, 38, 46, 437, 874

867 : 1, 3, 17, 51, 289, 867

289 : 1, 17, 289

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,874,867,289, is 1.

Now, the common factors can be found like this.

217:7x 31

874:2x 19x 23

867:3x 17x 17

289:17x 17

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 47521277454/(1x289)

LCM = 47521277454/289

LCM = 164433486

Thus, we can understand that the LCM of 217,874,867,289 is 164433486.

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

• LCM of 580, 463, 726, 145
• LCM of 699, 245, 501, 622
• LCM of 281, 875, 314, 450
• LCM of 968, 881, 413, 222
• LCM of 839, 786, 668, 188

1. What is the LCM of 217, 874, 867, 289?

Answer: LCM of 217, 874, 867, 289 is 164433486.

2. How to calculate the LCM of 217, 874, 867, 289?

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 217, 874, 867, 289.

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}.