Given numbers are 467,414,530,268

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

The LCM of 467,414,530,268 is 6865432380.

Find LCM of 467,414,530,268 with Prime Factorization

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

2 x 467 x 207 x 265 x 134 = 6865432380

Therefore, the lowest common multiple of 467,414,530,268 is 6865432380.

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.

467 x 414 x 530 x 268 = 27461729520

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.

467 : 1, 467

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

530 : 1, 2, 5, 10, 53, 106, 265, 530

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 467,414,530,268, is 1.

Now, the common factors can be found like this.

467:467

414:2x 3x 3x 23

530:2x 5x 53

268:2x 2x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 27461729520/(1x4)

LCM = 27461729520/4

LCM = 6865432380

Thus, we can understand that the LCM of 467,414,530,268 is 6865432380.

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

• LCM of 255, 982, 604, 428
• LCM of 514, 526, 951, 302
• LCM of 358, 599, 194, 375
• LCM of 185, 707, 907, 197
• LCM of 664, 254, 485, 147

1. What is the LCM of 467, 414, 530, 268?

Answer: LCM of 467, 414, 530, 268 is 6865432380.

2. How to calculate the LCM of 467, 414, 530, 268?

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 467, 414, 530, 268.

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}.