Given numbers are 792,846,163,528,189

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

The LCM of 792,846,163,528,189 is 254835504.

Find LCM of 792,846,163,528,189 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 1 x 47 x 163 x 2 x 21 = 254835504

Therefore, the lowest common multiple of 792,846,163,528,189 is 254835504.

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.

792 x 846 x 163 x 528 x 189 = 10898804835072

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

163 : 1, 163

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

189 : 1, 3, 7, 9, 21, 27, 63, 189

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,846,163,528,189, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

846:2x 3x 3x 47

163:163

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

189:3x 3x 3x 7

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 3x 3x 3x 3x 3x 11 = 42768

Therefore, the value for common factors is 42768.

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 = 10898804835072/(1x42768)

LCM = 10898804835072/42768

LCM = 254835504

Thus, we can understand that the LCM of 792,846,163,528,189 is 254835504.

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

• LCM of 168, 235, 243, 604, 384
• LCM of 287, 773, 763, 700, 846
• LCM of 634, 337, 960, 804, 735
• LCM of 522, 906, 393, 561, 455
• LCM of 657, 289, 593, 967, 312

1. What is the LCM of 792, 846, 163, 528, 189?

Answer: LCM of 792, 846, 163, 528, 189 is 254835504.

2. How to calculate the LCM of 792, 846, 163, 528, 189?

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 792, 846, 163, 528, 189.

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}.