Given numbers are 676,704,528,880

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

The LCM of 676,704,528,880 is 1784640.

Find LCM of 676,704,528,880 with Prime Factorization

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

2 x 2 x 2 x 2 x 11 x 169 x 4 x 3 x 5 = 1784640

Therefore, the lowest common multiple of 676,704,528,880 is 1784640.

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.

676 x 704 x 528 x 880 = 221124034560

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,704,528,880, is 4.

Now, the common factors can be found like this.

676:2x 2x 13x 13

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

528:2x 2x 2x 2x 3x 11

880:2x 2x 2x 2x 5x 11

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 11x 11 = 30976

Therefore, the value for common factors is 30976.

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 = 221124034560/(4x30976)

LCM = 221124034560/123904

LCM = 1784640

Thus, we can understand that the LCM of 676,704,528,880 is 1784640.

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

• LCM of 612, 557, 281, 364
• LCM of 123, 711, 676, 996
• LCM of 961, 407, 941, 286
• LCM of 820, 768, 904, 935
• LCM of 229, 672, 660, 658

1. What is the LCM of 676, 704, 528, 880?

Answer: LCM of 676, 704, 528, 880 is 1784640.

2. How to calculate the LCM of 676, 704, 528, 880?

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 676, 704, 528, 880.

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}.