Given numbers are 427,530,772,268,679

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

The LCM of 427,530,772,268,679 is 567724434340.

Find LCM of 427,530,772,268,679 with Prime Factorization

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

2 x 2 x 7 x 61 x 265 x 193 x 67 x 97 = 567724434340

Therefore, the lowest common multiple of 427,530,772,268,679 is 567724434340.

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.

427 x 530 x 772 x 268 x 679 = 31792568323040

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.

427 : 1, 7, 61, 427

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

772 : 1, 2, 4, 193, 386, 772

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

679 : 1, 7, 97, 679

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 427,530,772,268,679, is 1.

Now, the common factors can be found like this.

427:7x 61

530:2x 5x 53

772:2x 2x 193

268:2x 2x 67

679:7x 97

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 7 = 56

Therefore, the value for common factors is 56.

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 = 31792568323040/(1x56)

LCM = 31792568323040/56

LCM = 567724434340

Thus, we can understand that the LCM of 427,530,772,268,679 is 567724434340.

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

• LCM of 510, 414, 920, 155, 372
• LCM of 249, 798, 245, 410, 609
• LCM of 805, 466, 553, 606, 489
• LCM of 574, 300, 469, 663, 401
• LCM of 335, 390, 601, 725, 251

1. What is the LCM of 427, 530, 772, 268, 679?

Answer: LCM of 427, 530, 772, 268, 679 is 567724434340.

2. How to calculate the LCM of 427, 530, 772, 268, 679?

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 427, 530, 772, 268, 679.

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}.