Given numbers are 289,204,393,321

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

The LCM of 289,204,393,321 is 48610956.

Find LCM of 289,204,393,321 with Prime Factorization

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

3 x 17 x 17 x 4 x 131 x 107 = 48610956

Therefore, the lowest common multiple of 289,204,393,321 is 48610956.

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 204 x 393 x 321 = 7437476268

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

393 : 1, 3, 131, 393

321 : 1, 3, 107, 321

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,204,393,321, is 1.

Now, the common factors can be found like this.

289:17x 17

204:2x 2x 3x 17

393:3x 131

321:3x 107

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

3x 3x 17 = 153

Therefore, the value for common factors is 153.

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 = 7437476268/(1x153)

LCM = 7437476268/153

LCM = 48610956

Thus, we can understand that the LCM of 289,204,393,321 is 48610956.

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

• LCM of 728, 586, 499, 275
• LCM of 403, 316, 745, 621
• LCM of 466, 283, 850, 261
• LCM of 752, 948, 171, 282
• LCM of 987, 757, 482, 270

1. What is the LCM of 289, 204, 393, 321?

Answer: LCM of 289, 204, 393, 321 is 48610956.

2. How to calculate the LCM of 289, 204, 393, 321?

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, 204, 393, 321.

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}.