Given numbers are 331,509,418,714,344

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

The LCM of 331,509,418,714,344 is 4324328927688.

Find LCM of 331,509,418,714,344 with Prime Factorization

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

2 x 331 x 509 x 209 x 357 x 172 = 4324328927688

Therefore, the lowest common multiple of 331,509,418,714,344 is 4324328927688.

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.

331 x 509 x 418 x 714 x 344 = 17297315710752

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.

331 : 1, 331

509 : 1, 509

418 : 1, 2, 11, 19, 22, 38, 209, 418

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

344 : 1, 2, 4, 8, 43, 86, 172, 344

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,509,418,714,344, is 1.

Now, the common factors can be found like this.

331:331

509:509

418:2x 11x 19

714:2x 3x 7x 17

344:2x 2x 2x 43

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 17297315710752/(1x4)

LCM = 17297315710752/4

LCM = 4324328927688

Thus, we can understand that the LCM of 331,509,418,714,344 is 4324328927688.

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

• LCM of 646, 960, 531, 509, 887
• LCM of 388, 811, 169, 353, 528
• LCM of 490, 320, 733, 607, 995
• LCM of 541, 434, 872, 675, 178
• LCM of 481, 772, 658, 498, 202

1. What is the LCM of 331, 509, 418, 714, 344?

Answer: LCM of 331, 509, 418, 714, 344 is 4324328927688.

2. How to calculate the LCM of 331, 509, 418, 714, 344?

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 331, 509, 418, 714, 344.

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}.