Given numbers are 449,289,289,276

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

The LCM of 449,289,289,276 is 35814036.

Find LCM of 449,289,289,276 with Prime Factorization

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

17 x 17 x 449 x 1 x 1 x 276 = 35814036

Therefore, the lowest common multiple of 449,289,289,276 is 35814036.

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.

449 x 289 x 289 x 276 = 10350256404

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.

449 : 1, 449

289 : 1, 17, 289

289 : 1, 17, 289

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,289,289,276, is 1.

Now, the common factors can be found like this.

449:449

289:17x 17

289:17x 17

276:2x 2x 3x 23

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 = 10350256404/(1x289)

LCM = 10350256404/289

LCM = 35814036

Thus, we can understand that the LCM of 449,289,289,276 is 35814036.

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

• LCM of 443, 203, 808, 180
• LCM of 749, 188, 868, 910
• LCM of 826, 733, 957, 434
• LCM of 937, 173, 549, 118
• LCM of 741, 130, 772, 629

1. What is the LCM of 449, 289, 289, 276?

Answer: LCM of 449, 289, 289, 276 is 35814036.

2. How to calculate the LCM of 449, 289, 289, 276?

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 449, 289, 289, 276.

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}.