Given numbers are 792,497,805,438,561

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

The LCM of 792,497,805,438,561 is 56176049160.

Find LCM of 792,497,805,438,561 with Prime Factorization

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

2 x 3 x 7 x 11 x 12 x 71 x 115 x 73 x 17 = 56176049160

Therefore, the lowest common multiple of 792,497,805,438,561 is 56176049160.

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.

792 x 497 x 805 x 438 x 561 = 77860004135760

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

497 : 1, 7, 71, 497

805 : 1, 5, 7, 23, 35, 115, 161, 805

438 : 1, 2, 3, 6, 73, 146, 219, 438

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,497,805,438,561, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

497:7x 71

805:5x 7x 23

438:2x 3x 73

561:3x 11x 17

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

2x 3x 3x 7x 11 = 1386

Therefore, the value for common factors is 1386.

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 = 77860004135760/(1x1386)

LCM = 77860004135760/1386

LCM = 56176049160

Thus, we can understand that the LCM of 792,497,805,438,561 is 56176049160.

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

• LCM of 452, 208, 665, 127, 451
• LCM of 689, 959, 917, 807, 718
• LCM of 828, 200, 655, 385, 827
• LCM of 996, 132, 739, 768, 173
• LCM of 364, 823, 544, 351, 663

1. What is the LCM of 792, 497, 805, 438, 561?

Answer: LCM of 792, 497, 805, 438, 561 is 56176049160.

2. How to calculate the LCM of 792, 497, 805, 438, 561?

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 792, 497, 805, 438, 561.

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}.