Given numbers are 135,288,792,632,363

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

The LCM of 135,288,792,632,363 is 41294880.

Find LCM of 135,288,792,632,363 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 15 x 4 x 1 x 79 x 11 = 41294880

Therefore, the lowest common multiple of 135,288,792,632,363 is 41294880.

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.

135 x 288 x 792 x 632 x 363 = 7064397711360

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

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

632 : 1, 2, 4, 8, 79, 158, 316, 632

363 : 1, 3, 11, 33, 121, 363

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,288,792,632,363, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

288:2x 2x 2x 2x 2x 3x 3

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

632:2x 2x 2x 79

363:3x 11x 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 2x 3x 3x 3x 3x 3x 11 = 171072

Therefore, the value for common factors is 171072.

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 = 7064397711360/(1x171072)

LCM = 7064397711360/171072

LCM = 41294880

Thus, we can understand that the LCM of 135,288,792,632,363 is 41294880.

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

• LCM of 245, 384, 877, 763, 279
• LCM of 675, 857, 853, 939, 985
• LCM of 855, 217, 243, 673, 894
• LCM of 570, 882, 947, 215, 866
• LCM of 380, 342, 549, 601, 469

1. What is the LCM of 135, 288, 792, 632, 363?

Answer: LCM of 135, 288, 792, 632, 363 is 41294880.

2. How to calculate the LCM of 135, 288, 792, 632, 363?

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 135, 288, 792, 632, 363.

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}.