Given numbers are 388,528,440,308

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

The LCM of 388,528,440,308 is 1792560.

Find LCM of 388,528,440,308 with Prime Factorization

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

2 x 2 x 2 x 11 x 97 x 6 x 5 x 7 = 1792560

Therefore, the lowest common multiple of 388,528,440,308 is 1792560.

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.

388 x 528 x 440 x 308 = 27763169280

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.

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

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,528,440,308, is 4.

Now, the common factors can be found like this.

388:2x 2x 97

528:2x 2x 2x 2x 3x 11

440:2x 2x 2x 5x 11

308:2x 2x 7x 11

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 11x 11 = 3872

Therefore, the value for common factors is 3872.

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 = 27763169280/(4x3872)

LCM = 27763169280/15488

LCM = 1792560

Thus, we can understand that the LCM of 388,528,440,308 is 1792560.

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

• LCM of 976, 187, 983, 301
• LCM of 464, 629, 700, 854
• LCM of 870, 131, 910, 244
• LCM of 776, 437, 268, 540
• LCM of 771, 500, 646, 179

1. What is the LCM of 388, 528, 440, 308?

Answer: LCM of 388, 528, 440, 308 is 1792560.

2. How to calculate the LCM of 388, 528, 440, 308?

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 388, 528, 440, 308.

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}.