Given numbers are 272,120,388,648

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

The LCM of 272,120,388,648 is 10685520.

Find LCM of 272,120,388,648 with Prime Factorization

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

2 x 2 x 2 x 3 x 34 x 5 x 97 x 27 = 10685520

Therefore, the lowest common multiple of 272,120,388,648 is 10685520.

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.

272 x 120 x 388 x 648 = 8206479360

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.

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

388 : 1, 2, 4, 97, 194, 388

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 272,120,388,648, is 4.

Now, the common factors can be found like this.

272:2x 2x 2x 2x 17

120:2x 2x 2x 3x 5

388:2x 2x 97

648:2x 2x 2x 3x 3x 3x 3

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 3 = 192

Therefore, the value for common factors is 192.

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 = 8206479360/(4x192)

LCM = 8206479360/768

LCM = 10685520

Thus, we can understand that the LCM of 272,120,388,648 is 10685520.

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

• LCM of 206, 388, 739, 536
• LCM of 621, 780, 969, 676
• LCM of 115, 799, 939, 796
• LCM of 243, 776, 573, 266
• LCM of 208, 855, 932, 369

1. What is the LCM of 272, 120, 388, 648?

Answer: LCM of 272, 120, 388, 648 is 10685520.

2. How to calculate the LCM of 272, 120, 388, 648?

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 272, 120, 388, 648.

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}.