Given numbers are 480,348,313,624,815

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

The LCM of 480,348,313,624,815 is 9232398240.

Find LCM of 480,348,313,624,815 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 2 x 29 x 313 x 13 x 163 = 9232398240

Therefore, the lowest common multiple of 480,348,313,624,815 is 9232398240.

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.

480 x 348 x 313 x 624 x 815 = 26589306931200

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

313 : 1, 313

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

815 : 1, 5, 163, 815

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,348,313,624,815, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

348:2x 2x 3x 29

313:313

624:2x 2x 2x 2x 3x 13

815:5x 163

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 2x 3x 3x 5 = 2880

Therefore, the value for common factors is 2880.

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 = 26589306931200/(1x2880)

LCM = 26589306931200/2880

LCM = 9232398240

Thus, we can understand that the LCM of 480,348,313,624,815 is 9232398240.

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

• LCM of 480, 705, 167, 126, 315
• LCM of 576, 699, 466, 182, 984
• LCM of 674, 123, 487, 477, 887
• LCM of 799, 406, 606, 741, 182
• LCM of 245, 350, 948, 463, 185

1. What is the LCM of 480, 348, 313, 624, 815?

Answer: LCM of 480, 348, 313, 624, 815 is 9232398240.

2. How to calculate the LCM of 480, 348, 313, 624, 815?

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 480, 348, 313, 624, 815.

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}.