Given numbers are 354,352,311,970,170

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

The LCM of 354,352,311,970,170 is 159759605280.

Find LCM of 354,352,311,970,170 with Prime Factorization

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

2 x 5 x 177 x 176 x 311 x 97 x 17 = 159759605280

Therefore, the lowest common multiple of 354,352,311,970,170 is 159759605280.

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.

354 x 352 x 311 x 970 x 170 = 6390384211200

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.

354 : 1, 2, 3, 6, 59, 118, 177, 354

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

311 : 1, 311

970 : 1, 2, 5, 10, 97, 194, 485, 970

170 : 1, 2, 5, 10, 17, 34, 85, 170

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,352,311,970,170, is 1.

Now, the common factors can be found like this.

354:2x 3x 59

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

311:311

970:2x 5x 97

170:2x 5x 17

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 5 = 40

Therefore, the value for common factors is 40.

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 = 6390384211200/(1x40)

LCM = 6390384211200/40

LCM = 159759605280

Thus, we can understand that the LCM of 354,352,311,970,170 is 159759605280.

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

• LCM of 390, 336, 709, 725, 680
• LCM of 158, 983, 453, 959, 653
• LCM of 780, 361, 193, 360, 545
• LCM of 754, 101, 387, 455, 570
• LCM of 859, 552, 642, 939, 406

1. What is the LCM of 354, 352, 311, 970, 170?

Answer: LCM of 354, 352, 311, 970, 170 is 159759605280.

2. How to calculate the LCM of 354, 352, 311, 970, 170?

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 354, 352, 311, 970, 170.

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}.