Given numbers are 276,828,276,404

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

The LCM of 276,828,276,404 is 83628.

Find LCM of 276,828,276,404 with Prime Factorization

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

2 x 2 x 3 x 23 x 1 x 1 x 3 x 101 = 83628

Therefore, the lowest common multiple of 276,828,276,404 is 83628.

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.

276 x 828 x 276 x 404 = 25481786112

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.

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

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

404 : 1, 2, 4, 101, 202, 404

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,828,276,404, is 4.

Now, the common factors can be found like this.

276:2x 2x 3x 23

828:2x 2x 3x 3x 23

276:2x 2x 3x 23

404:2x 2x 101

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 2x 3x 3x 23x 23 = 76176

Therefore, the value for common factors is 76176.

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 = 25481786112/(4x76176)

LCM = 25481786112/304704

LCM = 83628

Thus, we can understand that the LCM of 276,828,276,404 is 83628.

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

• LCM of 212, 347, 416, 411
• LCM of 197, 555, 624, 331
• LCM of 445, 151, 720, 294
• LCM of 657, 884, 899, 154
• LCM of 186, 150, 530, 319

1. What is the LCM of 276, 828, 276, 404?

Answer: LCM of 276, 828, 276, 404 is 83628.

2. How to calculate the LCM of 276, 828, 276, 404?

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 276, 828, 276, 404.

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}.