Given numbers are 730,596,850,960

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

The LCM of 730,596,850,960 is 887563200.

Find LCM of 730,596,850,960 with Prime Factorization

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

2 x 2 x 5 x 73 x 149 x 85 x 48 = 887563200

Therefore, the lowest common multiple of 730,596,850,960 is 887563200.

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.

730 x 596 x 850 x 960 = 355025280000

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.

730 : 1, 2, 5, 10, 73, 146, 365, 730

596 : 1, 2, 4, 149, 298, 596

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

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 730,596,850,960, is 2.

Now, the common factors can be found like this.

730:2x 5x 73

596:2x 2x 149

850:2x 5x 5x 17

960:2x 2x 2x 2x 2x 2x 3x 5

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 355025280000/(2x200)

LCM = 355025280000/400

LCM = 887563200

Thus, we can understand that the LCM of 730,596,850,960 is 887563200.

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

• LCM of 614, 886, 751, 299
• LCM of 661, 622, 572, 809
• LCM of 596, 965, 434, 897
• LCM of 448, 181, 247, 674
• LCM of 830, 790, 261, 834

1. What is the LCM of 730, 596, 850, 960?

Answer: LCM of 730, 596, 850, 960 is 887563200.

2. How to calculate the LCM of 730, 596, 850, 960?

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 730, 596, 850, 960.

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}.