Given numbers are 896,640,660,388

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

The LCM of 896,640,660,388 is 14340480.

Find LCM of 896,640,660,388 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 2 x 2 x 5 x 7 x 1 x 33 x 97 = 14340480

Therefore, the lowest common multiple of 896,640,660,388 is 14340480.

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.

896 x 640 x 660 x 388 = 146846515200

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.

896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

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

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,640,660,388, is 4.

Now, the common factors can be found like this.

896:2x 2x 2x 2x 2x 2x 2x 7

640:2x 2x 2x 2x 2x 2x 2x 5

660:2x 2x 3x 5x 11

388:2x 2x 97

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 2x 2x 2x 5 = 2560

Therefore, the value for common factors is 2560.

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 = 146846515200/(4x2560)

LCM = 146846515200/10240

LCM = 14340480

Thus, we can understand that the LCM of 896,640,660,388 is 14340480.

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

• LCM of 422, 474, 109, 871
• LCM of 569, 588, 566, 405
• LCM of 646, 480, 731, 782
• LCM of 433, 978, 164, 522
• LCM of 647, 790, 293, 835

1. What is the LCM of 896, 640, 660, 388?

Answer: LCM of 896, 640, 660, 388 is 14340480.

2. How to calculate the LCM of 896, 640, 660, 388?

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 896, 640, 660, 388.

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}.