Given numbers are 396,965,769,204,696

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

The LCM of 396,965,769,204,696 is 289751540760.

Find LCM of 396,965,769,204,696 with Prime Factorization

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

2 x 2 x 3 x 33 x 965 x 769 x 17 x 58 = 289751540760

Therefore, the lowest common multiple of 396,965,769,204,696 is 289751540760.

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.

396 x 965 x 769 x 204 x 696 = 41724221869440

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.

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

965 : 1, 5, 193, 965

769 : 1, 769

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

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,965,769,204,696, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

965:5x 193

769:769

204:2x 2x 3x 17

696:2x 2x 2x 3x 29

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 3 = 144

Therefore, the value for common factors is 144.

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 = 41724221869440/(1x144)

LCM = 41724221869440/144

LCM = 289751540760

Thus, we can understand that the LCM of 396,965,769,204,696 is 289751540760.

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

• LCM of 748, 923, 413, 214, 556
• LCM of 331, 377, 286, 693, 164
• LCM of 917, 459, 816, 449, 147
• LCM of 466, 127, 623, 567, 895
• LCM of 971, 781, 547, 731, 600

1. What is the LCM of 396, 965, 769, 204, 696?

Answer: LCM of 396, 965, 769, 204, 696 is 289751540760.

2. How to calculate the LCM of 396, 965, 769, 204, 696?

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 396, 965, 769, 204, 696.

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}.