Given numbers are 936,409,612,675,536

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

The LCM of 936,409,612,675,536 is 32702740200.

Find LCM of 936,409,612,675,536 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 13 x 409 x 17 x 75 x 67 = 32702740200

Therefore, the lowest common multiple of 936,409,612,675,536 is 32702740200.

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 409 x 612 x 675 x 536 = 84765502598400

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

409 : 1, 409

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,409,612,675,536, is 1.

Now, the common factors can be found like this.

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

409:409

612:2x 2x 3x 3x 17

675:3x 3x 3x 5x 5

536:2x 2x 2x 67

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 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 84765502598400/(1x2592)

LCM = 84765502598400/2592

LCM = 32702740200

Thus, we can understand that the LCM of 936,409,612,675,536 is 32702740200.

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

• LCM of 352, 572, 323, 843, 799
• LCM of 983, 907, 326, 742, 402
• LCM of 584, 936, 211, 862, 136
• LCM of 578, 320, 272, 765, 997
• LCM of 457, 139, 935, 543, 632

1. What is the LCM of 936, 409, 612, 675, 536?

Answer: LCM of 936, 409, 612, 675, 536 is 32702740200.

2. How to calculate the LCM of 936, 409, 612, 675, 536?

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, 409, 612, 675, 536.

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}.