Given numbers are 828,399,249,888,788

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

The LCM of 828,399,249,888,788 is 133247176776.

Find LCM of 828,399,249,888,788 with Prime Factorization

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

2 x 2 x 3 x 69 x 133 x 83 x 74 x 197 = 133247176776

Therefore, the lowest common multiple of 828,399,249,888,788 is 133247176776.

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 399 x 249 x 888 x 788 = 57562780367232

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

399 : 1, 3, 7, 19, 21, 57, 133, 399

249 : 1, 3, 83, 249

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

788 : 1, 2, 4, 197, 394, 788

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,399,249,888,788, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

399:3x 7x 19

249:3x 83

888:2x 2x 2x 3x 37

788:2x 2x 197

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 57562780367232/(1x432)

LCM = 57562780367232/432

LCM = 133247176776

Thus, we can understand that the LCM of 828,399,249,888,788 is 133247176776.

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

• LCM of 473, 178, 666, 338, 421
• LCM of 700, 476, 656, 978, 779
• LCM of 429, 143, 519, 783, 548
• LCM of 326, 590, 803, 406, 849
• LCM of 918, 577, 711, 267, 505

1. What is the LCM of 828, 399, 249, 888, 788?

Answer: LCM of 828, 399, 249, 888, 788 is 133247176776.

2. How to calculate the LCM of 828, 399, 249, 888, 788?

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, 399, 249, 888, 788.

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}.