Given numbers are 276,440,644,828

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

The LCM of 276,440,644,828 is 637560.

Find LCM of 276,440,644,828 with Prime Factorization

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

2 x 2 x 3 x 23 x 1 x 110 x 7 x 3 = 637560

Therefore, the lowest common multiple of 276,440,644,828 is 637560.

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 440 x 644 x 828 = 64755694080

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

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 276,440,644,828, is 4.

Now, the common factors can be found like this.

276:2x 2x 3x 23

440:2x 2x 2x 5x 11

644:2x 2x 7x 23

828:2x 2x 3x 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.

2x 2x 2x 2x 3x 23x 23 = 25392

Therefore, the value for common factors is 25392.

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 = 64755694080/(4x25392)

LCM = 64755694080/101568

LCM = 637560

Thus, we can understand that the LCM of 276,440,644,828 is 637560.

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

• LCM of 914, 627, 788, 651
• LCM of 977, 733, 533, 433
• LCM of 481, 320, 284, 956
• LCM of 385, 571, 709, 464
• LCM of 174, 363, 385, 973

1. What is the LCM of 276, 440, 644, 828?

Answer: LCM of 276, 440, 644, 828 is 637560.

2. How to calculate the LCM of 276, 440, 644, 828?

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, 440, 644, 828.

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}.