Given numbers are 528,192,698,852,790

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

The LCM of 528,192,698,852,790 is 20671632960.

Find LCM of 528,192,698,852,790 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 11 x 4 x 349 x 71 x 395 = 20671632960

Therefore, the lowest common multiple of 528,192,698,852,790 is 20671632960.

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 192 x 698 x 852 x 790 = 47627442339840

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

698 : 1, 2, 349, 698

852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

790 : 1, 2, 5, 10, 79, 158, 395, 790

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 528,192,698,852,790, is 2.

Now, the common factors can be found like this.

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

192:2x 2x 2x 2x 2x 2x 3

698:2x 349

852:2x 2x 3x 71

790:2x 5x 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 2x 3x 3 = 1152

Therefore, the value for common factors is 1152.

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 = 47627442339840/(2x1152)

LCM = 47627442339840/2304

LCM = 20671632960

Thus, we can understand that the LCM of 528,192,698,852,790 is 20671632960.

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

• LCM of 773, 459, 294, 686, 656
• LCM of 881, 667, 833, 870, 143
• LCM of 174, 417, 762, 760, 930
• LCM of 930, 703, 110, 472, 898
• LCM of 791, 909, 396, 899, 501

1. What is the LCM of 528, 192, 698, 852, 790?

Answer: LCM of 528, 192, 698, 852, 790 is 20671632960.

2. How to calculate the LCM of 528, 192, 698, 852, 790?

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, 192, 698, 852, 790.

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}.