Given numbers are 393,677,221,349,323

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

The LCM of 393,677,221,349,323 is 389899358511.

Find LCM of 393,677,221,349,323 with Prime Factorization

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

17 x 393 x 677 x 13 x 349 x 19 = 389899358511

Therefore, the lowest common multiple of 393,677,221,349,323 is 389899358511.

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.

393 x 677 x 221 x 349 x 323 = 6628289094687

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.

393 : 1, 3, 131, 393

677 : 1, 677

221 : 1, 13, 17, 221

349 : 1, 349

323 : 1, 17, 19, 323

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,677,221,349,323, is 1.

Now, the common factors can be found like this.

393:3x 131

677:677

221:13x 17

349:349

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.

17 = 17

Therefore, the value for common factors is 17.

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 = 6628289094687/(1x17)

LCM = 6628289094687/17

LCM = 389899358511

Thus, we can understand that the LCM of 393,677,221,349,323 is 389899358511.

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

• LCM of 974, 912, 948, 763, 602
• LCM of 645, 375, 541, 401, 367
• LCM of 100, 586, 966, 527, 462
• LCM of 274, 770, 831, 199, 359
• LCM of 113, 462, 787, 292, 584

1. What is the LCM of 393, 677, 221, 349, 323?

Answer: LCM of 393, 677, 221, 349, 323 is 389899358511.

2. How to calculate the LCM of 393, 677, 221, 349, 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 393, 677, 221, 349, 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}.