Given numbers are 289,323,365,133

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

The LCM of 289,323,365,133 is 14029505.

Find LCM of 289,323,365,133 with Prime Factorization

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

17 x 19 x 17 x 1 x 365 x 7 = 14029505

Therefore, the lowest common multiple of 289,323,365,133 is 14029505.

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 323 x 365 x 133 = 4531530115

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

323 : 1, 17, 19, 323

365 : 1, 5, 73, 365

133 : 1, 7, 19, 133

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,323,365,133, is 1.

Now, the common factors can be found like this.

289:17x 17

323:17x 19

365:5x 73

133:7x 19

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

17x 19 = 323

Therefore, the value for common factors is 323.

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 = 4531530115/(1x323)

LCM = 4531530115/323

LCM = 14029505

Thus, we can understand that the LCM of 289,323,365,133 is 14029505.

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

• LCM of 461, 906, 445, 284
• LCM of 135, 321, 319, 796
• LCM of 470, 849, 167, 674
• LCM of 898, 667, 627, 182
• LCM of 660, 692, 702, 700

1. What is the LCM of 289, 323, 365, 133?

Answer: LCM of 289, 323, 365, 133 is 14029505.

2. How to calculate the LCM of 289, 323, 365, 133?

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, 323, 365, 133.

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}.