Given numbers are 258,198,469,792

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

The LCM of 258,198,469,792 is 15972264.

Find LCM of 258,198,469,792 with Prime Factorization

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

2 x 3 x 3 x 11 x 43 x 1 x 469 x 4 = 15972264

Therefore, the lowest common multiple of 258,198,469,792 is 15972264.

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.

258 x 198 x 469 x 792 = 18975049632

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

469 : 1, 7, 67, 469

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 258,198,469,792, is 1.

Now, the common factors can be found like this.

258:2x 3x 43

198:2x 3x 3x 11

469:7x 67

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 11 = 1188

Therefore, the value for common factors is 1188.

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 = 18975049632/(1x1188)

LCM = 18975049632/1188

LCM = 15972264

Thus, we can understand that the LCM of 258,198,469,792 is 15972264.

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

• LCM of 408, 870, 553, 943
• LCM of 880, 122, 228, 368
• LCM of 612, 938, 649, 231
• LCM of 346, 794, 146, 500
• LCM of 361, 863, 308, 702

1. What is the LCM of 258, 198, 469, 792?

Answer: LCM of 258, 198, 469, 792 is 15972264.

2. How to calculate the LCM of 258, 198, 469, 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 258, 198, 469, 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}.