Given numbers are 103,464,299,676,264

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

The LCM of 103,464,299,676,264 is 6130327632.

Find LCM of 103,464,299,676,264 with Prime Factorization

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

2 x 2 x 2 x 13 x 103 x 58 x 23 x 13 x 33 = 6130327632

Therefore, the lowest common multiple of 103,464,299,676,264 is 6130327632.

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.

103 x 464 x 299 x 676 x 264 = 2550216294912

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.

103 : 1, 103

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

299 : 1, 13, 23, 299

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,464,299,676,264, is 1.

Now, the common factors can be found like this.

103:103

464:2x 2x 2x 2x 29

299:13x 23

676:2x 2x 13x 13

264:2x 2x 2x 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 2x 2x 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 2550216294912/(1x416)

LCM = 2550216294912/416

LCM = 6130327632

Thus, we can understand that the LCM of 103,464,299,676,264 is 6130327632.

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

• LCM of 127, 287, 465, 984, 653
• LCM of 528, 880, 871, 494, 696
• LCM of 134, 557, 995, 237, 328
• LCM of 725, 353, 301, 433, 463
• LCM of 516, 961, 892, 217, 773

1. What is the LCM of 103, 464, 299, 676, 264?

Answer: LCM of 103, 464, 299, 676, 264 is 6130327632.

2. How to calculate the LCM of 103, 464, 299, 676, 264?

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 103, 464, 299, 676, 264.

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}.