Given numbers are 547,440,704,448,392

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

The LCM of 547,440,704,448,392 is 94346560.

Find LCM of 547,440,704,448,392 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 7 x 11 x 547 x 5 x 1 x 1 x 7 = 94346560

Therefore, the lowest common multiple of 547,440,704,448,392 is 94346560.

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.

547 x 440 x 704 x 448 x 392 = 29756150251520

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.

547 : 1, 547

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

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 547,440,704,448,392, is 1.

Now, the common factors can be found like this.

547:547

440:2x 2x 2x 5x 11

704:2x 2x 2x 2x 2x 2x 11

448:2x 2x 2x 2x 2x 2x 7

392:2x 2x 2x 7x 7

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 2x 2x 2x 2x 2x 2x 2x 2x 7x 11 = 315392

Therefore, the value for common factors is 315392.

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 = 29756150251520/(1x315392)

LCM = 29756150251520/315392

LCM = 94346560

Thus, we can understand that the LCM of 547,440,704,448,392 is 94346560.

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

• LCM of 402, 716, 671, 810, 703
• LCM of 780, 909, 989, 343, 982
• LCM of 790, 890, 287, 180, 715
• LCM of 356, 791, 315, 201, 700
• LCM of 265, 217, 773, 629, 772

1. What is the LCM of 547, 440, 704, 448, 392?

Answer: LCM of 547, 440, 704, 448, 392 is 94346560.

2. How to calculate the LCM of 547, 440, 704, 448, 392?

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 547, 440, 704, 448, 392.

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}.