Given numbers are 204,372,738,693,979

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

The LCM of 204,372,738,693,979 is 5330619756.

Find LCM of 204,372,738,693,979 with Prime Factorization

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

2 x 2 x 3 x 3 x 11 x 17 x 31 x 41 x 7 x 89 = 5330619756

Therefore, the lowest common multiple of 204,372,738,693,979 is 5330619756.

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.

204 x 372 x 738 x 693 x 979 = 37996657620768

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.

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

979 : 1, 11, 89, 979

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 204,372,738,693,979, is 1.

Now, the common factors can be found like this.

204:2x 2x 3x 17

372:2x 2x 3x 31

738:2x 3x 3x 41

693:3x 3x 7x 11

979:11x 89

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 3x 3x 3x 3x 11 = 7128

Therefore, the value for common factors is 7128.

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 = 37996657620768/(1x7128)

LCM = 37996657620768/7128

LCM = 5330619756

Thus, we can understand that the LCM of 204,372,738,693,979 is 5330619756.

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

• LCM of 371, 223, 633, 422, 682
• LCM of 527, 809, 978, 744, 415
• LCM of 220, 973, 664, 723, 462
• LCM of 433, 974, 612, 755, 184
• LCM of 815, 134, 345, 544, 619

1. What is the LCM of 204, 372, 738, 693, 979?

Answer: LCM of 204, 372, 738, 693, 979 is 5330619756.

2. How to calculate the LCM of 204, 372, 738, 693, 979?

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 204, 372, 738, 693, 979.

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}.