Given numbers are 828,950,475,515,696

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

The LCM of 828,950,475,515,696 is 2349574200.

Find LCM of 828,950,475,515,696 with Prime Factorization

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

2 x 2 x 3 x 5 x 5 x 19 x 69 x 1 x 1 x 103 x 58 = 2349574200

Therefore, the lowest common multiple of 828,950,475,515,696 is 2349574200.

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 950 x 475 x 515 x 696 = 133925729400000

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

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

475 : 1, 5, 19, 25, 95, 475

515 : 1, 5, 103, 515

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,950,475,515,696, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

950:2x 5x 5x 19

475:5x 5x 19

515:5x 103

696:2x 2x 2x 3x 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 2x 2x 3x 5x 5x 5x 19 = 57000

Therefore, the value for common factors is 57000.

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 = 133925729400000/(1x57000)

LCM = 133925729400000/57000

LCM = 2349574200

Thus, we can understand that the LCM of 828,950,475,515,696 is 2349574200.

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

• LCM of 601, 394, 753, 488, 216
• LCM of 924, 340, 652, 264, 638
• LCM of 491, 565, 305, 215, 377
• LCM of 203, 477, 626, 128, 885
• LCM of 355, 658, 762, 499, 292

1. What is the LCM of 828, 950, 475, 515, 696?

Answer: LCM of 828, 950, 475, 515, 696 is 2349574200.

2. How to calculate the LCM of 828, 950, 475, 515, 696?

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, 950, 475, 515, 696.

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}.