Given numbers are 791,264,324,528

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

The LCM of 791,264,324,528 is 11276496.

Find LCM of 791,264,324,528 with Prime Factorization

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

2 x 2 x 2 x 3 x 11 x 791 x 1 x 27 x 2 = 11276496

Therefore, the lowest common multiple of 791,264,324,528 is 11276496.

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.

791 x 264 x 324 x 528 = 35723939328

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.

791 : 1, 7, 113, 791

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

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,264,324,528, is 1.

Now, the common factors can be found like this.

791:7x 113

264:2x 2x 2x 3x 11

324:2x 2x 3x 3x 3x 3

528:2x 2x 2x 2x 3x 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 3x 3x 11 = 3168

Therefore, the value for common factors is 3168.

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 = 35723939328/(1x3168)

LCM = 35723939328/3168

LCM = 11276496

Thus, we can understand that the LCM of 791,264,324,528 is 11276496.

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

• LCM of 813, 894, 717, 190
• LCM of 944, 484, 995, 906
• LCM of 356, 584, 964, 635
• LCM of 115, 741, 828, 360
• LCM of 282, 107, 467, 357

1. What is the LCM of 791, 264, 324, 528?

Answer: LCM of 791, 264, 324, 528 is 11276496.

2. How to calculate the LCM of 791, 264, 324, 528?

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 791, 264, 324, 528.

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}.