Given numbers are 363,912,220,828

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

The LCM of 363,912,220,828 is 38071440.

Find LCM of 363,912,220,828 with Prime Factorization

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

2 x 2 x 3 x 11 x 11 x 76 x 5 x 69 = 38071440

Therefore, the lowest common multiple of 363,912,220,828 is 38071440.

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.

363 x 912 x 220 x 828 = 60305160960

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.

363 : 1, 3, 11, 33, 121, 363

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,912,220,828, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

912:2x 2x 2x 2x 3x 19

220:2x 2x 5x 11

828:2x 2x 3x 3x 23

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 11 = 1584

Therefore, the value for common factors is 1584.

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 = 60305160960/(1x1584)

LCM = 60305160960/1584

LCM = 38071440

Thus, we can understand that the LCM of 363,912,220,828 is 38071440.

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

• LCM of 350, 506, 934, 894
• LCM of 327, 816, 324, 405
• LCM of 290, 584, 818, 458
• LCM of 946, 532, 543, 122
• LCM of 205, 136, 158, 563

1. What is the LCM of 363, 912, 220, 828?

Answer: LCM of 363, 912, 220, 828 is 38071440.

2. How to calculate the LCM of 363, 912, 220, 828?

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 363, 912, 220, 828.

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}.