Given numbers are 305,273,507,488,424

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

The LCM of 305,273,507,488,424 is 458956680.

Find LCM of 305,273,507,488,424 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 61 x 5 x 7 x 13 x 1 x 53 = 458956680

Therefore, the lowest common multiple of 305,273,507,488,424 is 458956680.

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.

305 x 273 x 507 x 488 x 424 = 8734863533760

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.

305 : 1, 5, 61, 305

273 : 1, 3, 7, 13, 21, 39, 91, 273

507 : 1, 3, 13, 39, 169, 507

488 : 1, 2, 4, 8, 61, 122, 244, 488

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,273,507,488,424, is 1.

Now, the common factors can be found like this.

305:5x 61

273:3x 7x 13

507:3x 13x 13

488:2x 2x 2x 61

424:2x 2x 2x 53

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 3x 13x 61 = 19032

Therefore, the value for common factors is 19032.

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 = 8734863533760/(1x19032)

LCM = 8734863533760/19032

LCM = 458956680

Thus, we can understand that the LCM of 305,273,507,488,424 is 458956680.

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

• LCM of 983, 508, 379, 276, 621
• LCM of 925, 512, 293, 105, 118
• LCM of 979, 689, 113, 179, 104
• LCM of 971, 783, 439, 422, 546
• LCM of 548, 995, 966, 726, 919

1. What is the LCM of 305, 273, 507, 488, 424?

Answer: LCM of 305, 273, 507, 488, 424 is 458956680.

2. How to calculate the LCM of 305, 273, 507, 488, 424?

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 305, 273, 507, 488, 424.

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}.