Given numbers are 626,128,972,800

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

The LCM of 626,128,972,800 is 243388800.

Find LCM of 626,128,972,800 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 313 x 4 x 243 x 25 = 243388800

Therefore, the lowest common multiple of 626,128,972,800 is 243388800.

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.

626 x 128 x 972 x 800 = 62307532800

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.

626 : 1, 2, 313, 626

128 : 1, 2, 4, 8, 16, 32, 64, 128

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

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,128,972,800, is 2.

Now, the common factors can be found like this.

626:2x 313

128:2x 2x 2x 2x 2x 2x 2

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

800:2x 2x 2x 2x 2x 5x 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 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 62307532800/(2x128)

LCM = 62307532800/256

LCM = 243388800

Thus, we can understand that the LCM of 626,128,972,800 is 243388800.

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

• LCM of 439, 150, 675, 105
• LCM of 758, 637, 752, 813
• LCM of 964, 749, 385, 706
• LCM of 365, 506, 795, 645
• LCM of 775, 301, 222, 992

1. What is the LCM of 626, 128, 972, 800?

Answer: LCM of 626, 128, 972, 800 is 243388800.

2. How to calculate the LCM of 626, 128, 972, 800?

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 626, 128, 972, 800.

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}.