Given numbers are 622,348,750,960

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

The LCM of 622,348,750,960 is 216456000.

Find LCM of 622,348,750,960 with Prime Factorization

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

2 x 2 x 3 x 5 x 311 x 29 x 25 x 16 = 216456000

Therefore, the lowest common multiple of 622,348,750,960 is 216456000.

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.

622 x 348 x 750 x 960 = 155848320000

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.

622 : 1, 2, 311, 622

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

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 622,348,750,960, is 2.

Now, the common factors can be found like this.

622:2x 311

348:2x 2x 3x 29

750:2x 3x 5x 5x 5

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 3x 3x 5 = 360

Therefore, the value for common factors is 360.

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 = 155848320000/(2x360)

LCM = 155848320000/720

LCM = 216456000

Thus, we can understand that the LCM of 622,348,750,960 is 216456000.

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

• LCM of 309, 648, 189, 700
• LCM of 380, 873, 580, 982
• LCM of 614, 467, 574, 669
• LCM of 402, 835, 922, 330
• LCM of 229, 657, 671, 464

1. What is the LCM of 622, 348, 750, 960?

Answer: LCM of 622, 348, 750, 960 is 216456000.

2. How to calculate the LCM of 622, 348, 750, 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 622, 348, 750, 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}.