Given numbers are 323,740,509,836,324

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

The LCM of 323,740,509,836,324 is 108400111380.

Find LCM of 323,740,509,836,324 with Prime Factorization

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

2 x 2 x 19 x 17 x 185 x 509 x 11 x 81 = 108400111380

Therefore, the lowest common multiple of 323,740,509,836,324 is 108400111380.

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.

323 x 740 x 509 x 836 x 324 = 32953633859520

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.

323 : 1, 17, 19, 323

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

509 : 1, 509

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,740,509,836,324, is 1.

Now, the common factors can be found like this.

323:17x 19

740:2x 2x 5x 37

509:509

836:2x 2x 11x 19

324:2x 2x 3x 3x 3x 3

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 19 = 304

Therefore, the value for common factors is 304.

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 = 32953633859520/(1x304)

LCM = 32953633859520/304

LCM = 108400111380

Thus, we can understand that the LCM of 323,740,509,836,324 is 108400111380.

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

• LCM of 807, 835, 952, 357, 995
• LCM of 850, 759, 166, 691, 263
• LCM of 347, 827, 884, 602, 732
• LCM of 824, 605, 567, 685, 745
• LCM of 688, 568, 593, 297, 967

1. What is the LCM of 323, 740, 509, 836, 324?

Answer: LCM of 323, 740, 509, 836, 324 is 108400111380.

2. How to calculate the LCM of 323, 740, 509, 836, 324?

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 323, 740, 509, 836, 324.

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}.