Given numbers are 528,396,432,316

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

The LCM of 528,396,432,316 is 375408.

Find LCM of 528,396,432,316 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 3 x 11 x 1 x 1 x 3 x 79 = 375408

Therefore, the lowest common multiple of 528,396,432,316 is 375408.

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.

528 x 396 x 432 x 316 = 28543021056

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.

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

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

316 : 1, 2, 4, 79, 158, 316

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,396,432,316, is 4.

Now, the common factors can be found like this.

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

396:2x 2x 3x 3x 11

432:2x 2x 2x 2x 3x 3x 3

316:2x 2x 79

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 3x 3x 3x 11 = 19008

Therefore, the value for common factors is 19008.

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 = 28543021056/(4x19008)

LCM = 28543021056/76032

LCM = 375408

Thus, we can understand that the LCM of 528,396,432,316 is 375408.

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

• LCM of 765, 900, 111, 938
• LCM of 288, 784, 755, 106
• LCM of 995, 694, 853, 883
• LCM of 111, 399, 588, 961
• LCM of 331, 301, 261, 645

1. What is the LCM of 528, 396, 432, 316?

Answer: LCM of 528, 396, 432, 316 is 375408.

2. How to calculate the LCM of 528, 396, 432, 316?

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 528, 396, 432, 316.

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}.