Given numbers are 420,504,996,798

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

The LCM of 420,504,996,798 is 3974040.

Find LCM of 420,504,996,798 with Prime Factorization

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

2 x 2 x 3 x 7 x 5 x 6 x 83 x 19 = 3974040

Therefore, the lowest common multiple of 420,504,996,798 is 3974040.

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.

420 x 504 x 996 x 798 = 168244957440

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,504,996,798, is 6.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

504:2x 2x 2x 3x 3x 7

996:2x 2x 3x 83

798:2x 3x 7x 19

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 7x 7 = 7056

Therefore, the value for common factors is 7056.

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 = 168244957440/(6x7056)

LCM = 168244957440/42336

LCM = 3974040

Thus, we can understand that the LCM of 420,504,996,798 is 3974040.

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

• LCM of 196, 839, 954, 484
• LCM of 309, 533, 583, 765
• LCM of 275, 206, 389, 976
• LCM of 207, 160, 433, 641
• LCM of 911, 980, 857, 635

1. What is the LCM of 420, 504, 996, 798?

Answer: LCM of 420, 504, 996, 798 is 3974040.

2. How to calculate the LCM of 420, 504, 996, 798?

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 420, 504, 996, 798.

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}.