Given numbers are 422,972,720,912

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

The LCM of 422,972,720,912 is 77934960.

Find LCM of 422,972,720,912 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 211 x 27 x 5 x 19 = 77934960

Therefore, the lowest common multiple of 422,972,720,912 is 77934960.

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.

422 x 972 x 720 x 912 = 269343221760

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.

422 : 1, 2, 211, 422

972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,972,720,912, is 2.

Now, the common factors can be found like this.

422:2x 211

972:2x 2x 3x 3x 3x 3x 3

720:2x 2x 2x 2x 3x 3x 5

912:2x 2x 2x 2x 3x 19

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 2x 3x 3x 3 = 1728

Therefore, the value for common factors is 1728.

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 = 269343221760/(2x1728)

LCM = 269343221760/3456

LCM = 77934960

Thus, we can understand that the LCM of 422,972,720,912 is 77934960.

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

• LCM of 440, 657, 354, 711
• LCM of 333, 808, 291, 779
• LCM of 887, 298, 442, 560
• LCM of 969, 873, 826, 174
• LCM of 104, 154, 596, 399

1. What is the LCM of 422, 972, 720, 912?

Answer: LCM of 422, 972, 720, 912 is 77934960.

2. How to calculate the LCM of 422, 972, 720, 912?

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 422, 972, 720, 912.

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}.