Given numbers are 792,363,514,252

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

The LCM of 792,363,514,252 is 15672888.

Find LCM of 792,363,514,252 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 2 x 11 x 257 x 7 = 15672888

Therefore, the lowest common multiple of 792,363,514,252 is 15672888.

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 363 x 514 x 252 = 37238781888

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

363 : 1, 3, 11, 33, 121, 363

514 : 1, 2, 257, 514

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,363,514,252, is 1.

Now, the common factors can be found like this.

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

363:3x 11x 11

514:2x 257

252:2x 2x 3x 3x 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 3x 3x 3x 11 = 2376

Therefore, the value for common factors is 2376.

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 = 37238781888/(1x2376)

LCM = 37238781888/2376

LCM = 15672888

Thus, we can understand that the LCM of 792,363,514,252 is 15672888.

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

• LCM of 984, 545, 607, 837
• LCM of 897, 707, 766, 794
• LCM of 431, 799, 468, 974
• LCM of 638, 981, 675, 294
• LCM of 550, 870, 425, 144

1. What is the LCM of 792, 363, 514, 252?

Answer: LCM of 792, 363, 514, 252 is 15672888.

2. How to calculate the LCM of 792, 363, 514, 252?

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, 363, 514, 252.

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}.