Given numbers are 352,323,171,389

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

The LCM of 352,323,171,389 is 398049696.

Find LCM of 352,323,171,389 with Prime Factorization

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

19 x 352 x 17 x 9 x 389 = 398049696

Therefore, the lowest common multiple of 352,323,171,389 is 398049696.

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.

352 x 323 x 171 x 389 = 7562944224

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

323 : 1, 17, 19, 323

171 : 1, 3, 9, 19, 57, 171

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,323,171,389, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

323:17x 19

171:3x 3x 19

389:389

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

19 = 19

Therefore, the value for common factors is 19.

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 = 7562944224/(1x19)

LCM = 7562944224/19

LCM = 398049696

Thus, we can understand that the LCM of 352,323,171,389 is 398049696.

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

• LCM of 365, 627, 178, 665
• LCM of 613, 402, 337, 497
• LCM of 907, 851, 280, 147
• LCM of 994, 295, 942, 237
• LCM of 828, 716, 314, 201

1. What is the LCM of 352, 323, 171, 389?

Answer: LCM of 352, 323, 171, 389 is 398049696.

2. How to calculate the LCM of 352, 323, 171, 389?

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 352, 323, 171, 389.

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}.