Given numbers are 464,424,522,107,130

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

The LCM of 464,424,522,107,130 is 1539336240.

Find LCM of 464,424,522,107,130 with Prime Factorization

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

2 x 2 x 2 x 29 x 2 x 53 x 9 x 107 x 65 = 1539336240

Therefore, the lowest common multiple of 464,424,522,107,130 is 1539336240.

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.

464 x 424 x 522 x 107 x 130 = 1428504030720

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.

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

424 : 1, 2, 4, 8, 53, 106, 212, 424

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

107 : 1, 107

130 : 1, 2, 5, 10, 13, 26, 65, 130

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,424,522,107,130, is 1.

Now, the common factors can be found like this.

464:2x 2x 2x 2x 29

424:2x 2x 2x 53

522:2x 3x 3x 29

107:107

130:2x 5x 13

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 29 = 928

Therefore, the value for common factors is 928.

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 = 1428504030720/(1x928)

LCM = 1428504030720/928

LCM = 1539336240

Thus, we can understand that the LCM of 464,424,522,107,130 is 1539336240.

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

• LCM of 562, 515, 516, 348, 600
• LCM of 103, 423, 956, 761, 260
• LCM of 760, 686, 555, 373, 949
• LCM of 730, 410, 906, 669, 119
• LCM of 133, 792, 656, 895, 542

1. What is the LCM of 464, 424, 522, 107, 130?

Answer: LCM of 464, 424, 522, 107, 130 is 1539336240.

2. How to calculate the LCM of 464, 424, 522, 107, 130?

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 464, 424, 522, 107, 130.

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}.