Given numbers are 342,497,477,526,792

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

The LCM of 342,497,477,526,792 is 104247773784.

Find LCM of 342,497,477,526,792 with Prime Factorization

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

2 x 3 x 3 x 19 x 497 x 53 x 263 x 44 = 104247773784

Therefore, the lowest common multiple of 342,497,477,526,792 is 104247773784.

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.

342 x 497 x 477 x 526 x 792 = 33776278706016

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.

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

497 : 1, 7, 71, 497

477 : 1, 3, 9, 53, 159, 477

526 : 1, 2, 263, 526

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,497,477,526,792, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

497:7x 71

477:3x 3x 53

526:2x 263

792:2x 2x 2x 3x 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 2x 3x 3x 3x 3 = 324

Therefore, the value for common factors is 324.

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 = 33776278706016/(1x324)

LCM = 33776278706016/324

LCM = 104247773784

Thus, we can understand that the LCM of 342,497,477,526,792 is 104247773784.

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

• LCM of 465, 585, 155, 752, 215
• LCM of 532, 166, 343, 489, 470
• LCM of 805, 832, 219, 566, 352
• LCM of 987, 942, 111, 540, 311
• LCM of 313, 681, 821, 243, 439

1. What is the LCM of 342, 497, 477, 526, 792?

Answer: LCM of 342, 497, 477, 526, 792 is 104247773784.

2. How to calculate the LCM of 342, 497, 477, 526, 792?

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 342, 497, 477, 526, 792.

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}.