Given numbers are 542,356,214,108,829

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

The LCM of 542,356,214,108,829 is 231058186956.

Find LCM of 542,356,214,108,829 with Prime Factorization

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

2 x 2 x 271 x 89 x 107 x 27 x 829 = 231058186956

Therefore, the lowest common multiple of 542,356,214,108,829 is 231058186956.

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.

542 x 356 x 214 x 108 x 829 = 3696930991296

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.

542 : 1, 2, 271, 542

356 : 1, 2, 4, 89, 178, 356

214 : 1, 2, 107, 214

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,356,214,108,829, is 1.

Now, the common factors can be found like this.

542:2x 271

356:2x 2x 89

214:2x 107

108:2x 2x 3x 3x 3

829:829

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 2 = 16

Therefore, the value for common factors is 16.

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 = 3696930991296/(1x16)

LCM = 3696930991296/16

LCM = 231058186956

Thus, we can understand that the LCM of 542,356,214,108,829 is 231058186956.

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

• LCM of 547, 400, 386, 695, 698
• LCM of 300, 191, 694, 643, 311
• LCM of 365, 967, 555, 885, 553
• LCM of 288, 182, 902, 481, 981
• LCM of 431, 870, 231, 164, 746

1. What is the LCM of 542, 356, 214, 108, 829?

Answer: LCM of 542, 356, 214, 108, 829 is 231058186956.

2. How to calculate the LCM of 542, 356, 214, 108, 829?

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 542, 356, 214, 108, 829.

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}.