Given numbers are 828,101,381,869,445

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

The LCM of 828,101,381,869,445 is 4107099448980.

Find LCM of 828,101,381,869,445 with Prime Factorization

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

3 x 276 x 101 x 127 x 869 x 445 = 4107099448980

Therefore, the lowest common multiple of 828,101,381,869,445 is 4107099448980.

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 101 x 381 x 869 x 445 = 12321298346940

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

101 : 1, 101

381 : 1, 3, 127, 381

869 : 1, 11, 79, 869

445 : 1, 5, 89, 445

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,101,381,869,445, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

101:101

381:3x 127

869:11x 79

445:5x 89

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

3 = 3

Therefore, the value for common factors is 3.

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 = 12321298346940/(1x3)

LCM = 12321298346940/3

LCM = 4107099448980

Thus, we can understand that the LCM of 828,101,381,869,445 is 4107099448980.

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

• LCM of 183, 892, 659, 990, 872
• LCM of 214, 701, 600, 833, 562
• LCM of 742, 276, 120, 959, 213
• LCM of 980, 676, 105, 904, 412
• LCM of 714, 215, 764, 828, 877

1. What is the LCM of 828, 101, 381, 869, 445?

Answer: LCM of 828, 101, 381, 869, 445 is 4107099448980.

2. How to calculate the LCM of 828, 101, 381, 869, 445?

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, 101, 381, 869, 445.

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}.