Given numbers are 828,395,398,982

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

The LCM of 828,395,398,982 is 31956705540.

Find LCM of 828,395,398,982 with Prime Factorization

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

2 x 414 x 395 x 199 x 491 = 31956705540

Therefore, the lowest common multiple of 828,395,398,982 is 31956705540.

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 395 x 398 x 982 = 127826822160

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

395 : 1, 5, 79, 395

398 : 1, 2, 199, 398

982 : 1, 2, 491, 982

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,395,398,982, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

395:5x 79

398:2x 199

982:2x 491

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 127826822160/(1x4)

LCM = 127826822160/4

LCM = 31956705540

Thus, we can understand that the LCM of 828,395,398,982 is 31956705540.

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

• LCM of 513, 296, 562, 443
• LCM of 105, 696, 479, 664
• LCM of 914, 880, 597, 339
• LCM of 735, 838, 561, 452
• LCM of 625, 305, 360, 452

1. What is the LCM of 828, 395, 398, 982?

Answer: LCM of 828, 395, 398, 982 is 31956705540.

2. How to calculate the LCM of 828, 395, 398, 982?

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, 395, 398, 982.

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}.