Given numbers are 784,660,689,493

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

The LCM of 784,660,689,493 is 43940616720.

Find LCM of 784,660,689,493 with Prime Factorization

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

2 x 2 x 196 x 165 x 689 x 493 = 43940616720

Therefore, the lowest common multiple of 784,660,689,493 is 43940616720.

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.

784 x 660 x 689 x 493 = 175762466880

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.

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

689 : 1, 13, 53, 689

493 : 1, 17, 29, 493

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,660,689,493, is 1.

Now, the common factors can be found like this.

784:2x 2x 2x 2x 7x 7

660:2x 2x 3x 5x 11

689:13x 53

493:17x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 175762466880/(1x4)

LCM = 175762466880/4

LCM = 43940616720

Thus, we can understand that the LCM of 784,660,689,493 is 43940616720.

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

• LCM of 242, 202, 162, 752
• LCM of 139, 494, 819, 747
• LCM of 700, 971, 427, 866
• LCM of 303, 833, 732, 836
• LCM of 782, 671, 309, 830

1. What is the LCM of 784, 660, 689, 493?

Answer: LCM of 784, 660, 689, 493 is 43940616720.

2. How to calculate the LCM of 784, 660, 689, 493?

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 784, 660, 689, 493.

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}.