Given numbers are 936,290,850,535,408

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

The LCM of 936,290,850,535,408 is 1234373400.

Find LCM of 936,290,850,535,408 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 17 x 39 x 29 x 5 x 107 x 1 = 1234373400

Therefore, the lowest common multiple of 936,290,850,535,408 is 1234373400.

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 290 x 850 x 535 x 408 = 50362434720000

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

290 : 1, 2, 5, 10, 29, 58, 145, 290

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

535 : 1, 5, 107, 535

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,290,850,535,408, is 1.

Now, the common factors can be found like this.

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

290:2x 5x 29

850:2x 5x 5x 17

535:5x 107

408:2x 2x 2x 3x 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 2x 3x 5x 5x 17 = 40800

Therefore, the value for common factors is 40800.

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 = 50362434720000/(1x40800)

LCM = 50362434720000/40800

LCM = 1234373400

Thus, we can understand that the LCM of 936,290,850,535,408 is 1234373400.

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

• LCM of 950, 942, 663, 366, 489
• LCM of 842, 655, 301, 713, 661
• LCM of 806, 271, 140, 817, 452
• LCM of 855, 367, 191, 472, 188
• LCM of 415, 380, 894, 453, 983

1. What is the LCM of 936, 290, 850, 535, 408?

Answer: LCM of 936, 290, 850, 535, 408 is 1234373400.

2. How to calculate the LCM of 936, 290, 850, 535, 408?

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, 290, 850, 535, 408.

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}.