Given numbers are 828,442,528,596

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

The LCM of 828,442,528,596 is 1199669328.

Find LCM of 828,442,528,596 with Prime Factorization

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

2 x 2 x 3 x 69 x 221 x 44 x 149 = 1199669328

Therefore, the lowest common multiple of 828,442,528,596 is 1199669328.

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.

828 x 442 x 528 x 596 = 115168255488

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.

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

442 : 1, 2, 13, 17, 26, 34, 221, 442

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

596 : 1, 2, 4, 149, 298, 596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,442,528,596, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

442:2x 13x 17

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

596:2x 2x 149

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 3 = 48

Therefore, the value for common factors is 48.

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 = 115168255488/(2x48)

LCM = 115168255488/96

LCM = 1199669328

Thus, we can understand that the LCM of 828,442,528,596 is 1199669328.

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

• LCM of 823, 842, 540, 568
• LCM of 231, 335, 317, 714
• LCM of 519, 249, 535, 895
• LCM of 797, 878, 809, 651
• LCM of 912, 476, 652, 594

1. What is the LCM of 828, 442, 528, 596?

Answer: LCM of 828, 442, 528, 596 is 1199669328.

2. How to calculate the LCM of 828, 442, 528, 596?

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 828, 442, 528, 596.

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}.