Given numbers are 936,408,194,765

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

The LCM of 936,408,194,765 is 7717320.

Find LCM of 936,408,194,765 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 17 x 13 x 1 x 97 x 5 = 7717320

Therefore, the lowest common multiple of 936,408,194,765 is 7717320.

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.

936 x 408 x 194 x 765 = 56675998080

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

194 : 1, 2, 97, 194

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,408,194,765, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

408:2x 2x 2x 3x 17

194:2x 97

765:3x 3x 5x 17

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 3x 17 = 7344

Therefore, the value for common factors is 7344.

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 = 56675998080/(1x7344)

LCM = 56675998080/7344

LCM = 7717320

Thus, we can understand that the LCM of 936,408,194,765 is 7717320.

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

• LCM of 587, 187, 685, 847
• LCM of 664, 235, 940, 368
• LCM of 914, 915, 759, 124
• LCM of 979, 651, 813, 566
• LCM of 824, 485, 936, 266

1. What is the LCM of 936, 408, 194, 765?

Answer: LCM of 936, 408, 194, 765 is 7717320.

2. How to calculate the LCM of 936, 408, 194, 765?

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 936, 408, 194, 765.

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}.