Given numbers are 580,756,825,936

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

The LCM of 580,756,825,936 is 156756600.

Find LCM of 580,756,825,936 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 29 x 21 x 55 x 26 = 156756600

Therefore, the lowest common multiple of 580,756,825,936 is 156756600.

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.

580 x 756 x 825 x 936 = 338594256000

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,756,825,936, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

756:2x 2x 3x 3x 3x 7

825:3x 5x 5x 11

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

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 5 = 2160

Therefore, the value for common factors is 2160.

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 = 338594256000/(1x2160)

LCM = 338594256000/2160

LCM = 156756600

Thus, we can understand that the LCM of 580,756,825,936 is 156756600.

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

• LCM of 718, 447, 312, 574
• LCM of 643, 364, 285, 603
• LCM of 711, 984, 535, 669
• LCM of 701, 472, 369, 553
• LCM of 753, 828, 538, 632

1. What is the LCM of 580, 756, 825, 936?

Answer: LCM of 580, 756, 825, 936 is 156756600.

2. How to calculate the LCM of 580, 756, 825, 936?

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 580, 756, 825, 936.

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}.