Given numbers are 379,540,184,396,998

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

The LCM of 379,540,184,396,998 is 51675422040.

Find LCM of 379,540,184,396,998 with Prime Factorization

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

2 x 2 x 3 x 3 x 379 x 15 x 46 x 11 x 499 = 51675422040

Therefore, the lowest common multiple of 379,540,184,396,998 is 51675422040.

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.

379 x 540 x 184 x 396 x 998 = 14882521547520

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.

379 : 1, 379

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

184 : 1, 2, 4, 8, 23, 46, 92, 184

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,540,184,396,998, is 1.

Now, the common factors can be found like this.

379:379

540:2x 2x 3x 3x 3x 5

184:2x 2x 2x 23

396:2x 2x 3x 3x 11

998:2x 499

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 2x 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 14882521547520/(1x288)

LCM = 14882521547520/288

LCM = 51675422040

Thus, we can understand that the LCM of 379,540,184,396,998 is 51675422040.

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

• LCM of 796, 506, 452, 664, 615
• LCM of 340, 229, 251, 692, 210
• LCM of 906, 632, 837, 967, 825
• LCM of 301, 379, 725, 491, 935
• LCM of 541, 586, 375, 611, 432

1. What is the LCM of 379, 540, 184, 396, 998?

Answer: LCM of 379, 540, 184, 396, 998 is 51675422040.

2. How to calculate the LCM of 379, 540, 184, 396, 998?

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 379, 540, 184, 396, 998.

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}.