Given numbers are 385,855,306,528

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

The LCM of 385,855,306,528 is 17907120.

Find LCM of 385,855,306,528 with Prime Factorization

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

2 x 3 x 3 x 5 x 11 x 7 x 19 x 17 x 8 = 17907120

Therefore, the lowest common multiple of 385,855,306,528 is 17907120.

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.

385 x 855 x 306 x 528 = 53184146400

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.

385 : 1, 5, 7, 11, 35, 55, 77, 385

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,855,306,528, is 1.

Now, the common factors can be found like this.

385:5x 7x 11

855:3x 3x 5x 19

306:2x 3x 3x 17

528:2x 2x 2x 2x 3x 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 3x 3x 3x 5x 11 = 2970

Therefore, the value for common factors is 2970.

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 = 53184146400/(1x2970)

LCM = 53184146400/2970

LCM = 17907120

Thus, we can understand that the LCM of 385,855,306,528 is 17907120.

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

• LCM of 755, 393, 155, 392
• LCM of 190, 733, 542, 917
• LCM of 995, 267, 214, 934
• LCM of 111, 992, 252, 507
• LCM of 773, 551, 490, 610

1. What is the LCM of 385, 855, 306, 528?

Answer: LCM of 385, 855, 306, 528 is 17907120.

2. How to calculate the LCM of 385, 855, 306, 528?

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 385, 855, 306, 528.

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}.