Given numbers are 460,351,379,920,509

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

The LCM of 460,351,379,920,509 is 62294820120.

Find LCM of 460,351,379,920,509 with Prime Factorization

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

2 x 2 x 5 x 23 x 1 x 351 x 379 x 2 x 509 = 62294820120

Therefore, the lowest common multiple of 460,351,379,920,509 is 62294820120.

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.

460 x 351 x 379 x 920 x 509 = 28655617255200

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.

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

351 : 1, 3, 9, 13, 27, 39, 117, 351

379 : 1, 379

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,351,379,920,509, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

351:3x 3x 3x 13

379:379

920:2x 2x 2x 5x 23

509:509

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 5x 23 = 460

Therefore, the value for common factors is 460.

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 = 28655617255200/(1x460)

LCM = 28655617255200/460

LCM = 62294820120

Thus, we can understand that the LCM of 460,351,379,920,509 is 62294820120.

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

• LCM of 418, 631, 300, 815, 592
• LCM of 687, 620, 986, 806, 177
• LCM of 111, 576, 648, 813, 557
• LCM of 108, 170, 341, 508, 716
• LCM of 343, 234, 690, 941, 139

1. What is the LCM of 460, 351, 379, 920, 509?

Answer: LCM of 460, 351, 379, 920, 509 is 62294820120.

2. How to calculate the LCM of 460, 351, 379, 920, 509?

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 460, 351, 379, 920, 509.

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}.