Given numbers are 919,728,374,252,323

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

The LCM of 919,728,374,252,323 is 21393636264.

Find LCM of 919,728,374,252,323 with Prime Factorization

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

2 x 2 x 7 x 17 x 919 x 26 x 11 x 9 x 19 = 21393636264

Therefore, the lowest common multiple of 919,728,374,252,323 is 21393636264.

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.

919 x 728 x 374 x 252 x 323 = 20366741723328

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.

919 : 1, 919

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

374 : 1, 2, 11, 17, 22, 34, 187, 374

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 919,728,374,252,323, is 1.

Now, the common factors can be found like this.

919:919

728:2x 2x 2x 7x 13

374:2x 11x 17

252:2x 2x 3x 3x 7

323:17x 19

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 7x 17 = 952

Therefore, the value for common factors is 952.

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 = 20366741723328/(1x952)

LCM = 20366741723328/952

LCM = 21393636264

Thus, we can understand that the LCM of 919,728,374,252,323 is 21393636264.

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

• LCM of 720, 895, 280, 314, 266
• LCM of 843, 544, 310, 687, 856
• LCM of 926, 114, 709, 941, 237
• LCM of 187, 300, 822, 179, 304
• LCM of 291, 253, 815, 688, 373

1. What is the LCM of 919, 728, 374, 252, 323?

Answer: LCM of 919, 728, 374, 252, 323 is 21393636264.

2. How to calculate the LCM of 919, 728, 374, 252, 323?

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 919, 728, 374, 252, 323.

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}.