Given numbers are 348,828,331,516,147

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

The LCM of 348,828,331,516,147 is 16746377004.

Find LCM of 348,828,331,516,147 with Prime Factorization

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

2 x 2 x 3 x 29 x 69 x 331 x 43 x 49 = 16746377004

Therefore, the lowest common multiple of 348,828,331,516,147 is 16746377004.

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.

348 x 828 x 331 x 516 x 147 = 7234434865728

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.

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

331 : 1, 331

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

147 : 1, 3, 7, 21, 49, 147

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,828,331,516,147, is 1.

Now, the common factors can be found like this.

348:2x 2x 3x 29

828:2x 2x 3x 3x 23

331:331

516:2x 2x 3x 43

147:3x 7x 7

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 2x 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 7234434865728/(1x432)

LCM = 7234434865728/432

LCM = 16746377004

Thus, we can understand that the LCM of 348,828,331,516,147 is 16746377004.

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

• LCM of 637, 673, 639, 380, 343
• LCM of 287, 707, 347, 979, 978
• LCM of 435, 710, 935, 890, 357
• LCM of 606, 533, 113, 201, 979
• LCM of 585, 348, 920, 737, 611

1. What is the LCM of 348, 828, 331, 516, 147?

Answer: LCM of 348, 828, 331, 516, 147 is 16746377004.

2. How to calculate the LCM of 348, 828, 331, 516, 147?

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 348, 828, 331, 516, 147.

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}.