Given numbers are 357,331,582,810,680

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

The LCM of 357,331,582,810,680 is 12379174920.

Find LCM of 357,331,582,810,680 with Prime Factorization

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

2 x 3 x 5 x 17 x 7 x 331 x 97 x 27 x 4 = 12379174920

Therefore, the lowest common multiple of 357,331,582,810,680 is 12379174920.

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.

357 x 331 x 582 x 810 x 680 = 37880275255200

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.

357 : 1, 3, 7, 17, 21, 51, 119, 357

331 : 1, 331

582 : 1, 2, 3, 6, 97, 194, 291, 582

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,331,582,810,680, is 1.

Now, the common factors can be found like this.

357:3x 7x 17

331:331

582:2x 3x 97

810:2x 3x 3x 3x 3x 5

680:2x 2x 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 3x 3x 5x 17 = 3060

Therefore, the value for common factors is 3060.

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 = 37880275255200/(1x3060)

LCM = 37880275255200/3060

LCM = 12379174920

Thus, we can understand that the LCM of 357,331,582,810,680 is 12379174920.

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

• LCM of 625, 253, 696, 820, 844
• LCM of 790, 346, 539, 218, 704
• LCM of 323, 626, 125, 984, 240
• LCM of 128, 798, 159, 554, 893
• LCM of 610, 964, 122, 260, 348

1. What is the LCM of 357, 331, 582, 810, 680?

Answer: LCM of 357, 331, 582, 810, 680 is 12379174920.

2. How to calculate the LCM of 357, 331, 582, 810, 680?

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 357, 331, 582, 810, 680.

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}.