Given numbers are 381,130,396,998,543

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

The LCM of 381,130,396,998,543 is 295251004620.

Find LCM of 381,130,396,998,543 with Prime Factorization

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

2 x 3 x 127 x 65 x 66 x 499 x 181 = 295251004620

Therefore, the lowest common multiple of 381,130,396,998,543 is 295251004620.

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.

381 x 130 x 396 x 998 x 543 = 10629036166320

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.

381 : 1, 3, 127, 381

130 : 1, 2, 5, 10, 13, 26, 65, 130

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

998 : 1, 2, 499, 998

543 : 1, 3, 181, 543

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,130,396,998,543, is 1.

Now, the common factors can be found like this.

381:3x 127

130:2x 5x 13

396:2x 2x 3x 3x 11

998:2x 499

543:3x 181

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 10629036166320/(1x36)

LCM = 10629036166320/36

LCM = 295251004620

Thus, we can understand that the LCM of 381,130,396,998,543 is 295251004620.

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

• LCM of 788, 606, 964, 979, 120
• LCM of 296, 896, 945, 402, 213
• LCM of 966, 894, 166, 939, 347
• LCM of 928, 844, 319, 806, 223
• LCM of 790, 809, 158, 245, 662

1. What is the LCM of 381, 130, 396, 998, 543?

Answer: LCM of 381, 130, 396, 998, 543 is 295251004620.

2. How to calculate the LCM of 381, 130, 396, 998, 543?

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 381, 130, 396, 998, 543.

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}.