Given numbers are 828,471,327,793,164

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

The LCM of 828,471,327,793,164 is 460695034332.

Find LCM of 828,471,327,793,164 with Prime Factorization

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

2 x 2 x 3 x 69 x 157 x 109 x 793 x 41 = 460695034332

Therefore, the lowest common multiple of 828,471,327,793,164 is 460695034332.

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.

828 x 471 x 327 x 793 x 164 = 16585021235952

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.

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

471 : 1, 3, 157, 471

327 : 1, 3, 109, 327

793 : 1, 13, 61, 793

164 : 1, 2, 4, 41, 82, 164

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,471,327,793,164, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

471:3x 157

327:3x 109

793:13x 61

164:2x 2x 41

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 3 = 36

Therefore, the value for common factors is 36.

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 = 16585021235952/(1x36)

LCM = 16585021235952/36

LCM = 460695034332

Thus, we can understand that the LCM of 828,471,327,793,164 is 460695034332.

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

• LCM of 569, 332, 633, 113, 782
• LCM of 852, 998, 161, 206, 881
• LCM of 265, 791, 896, 889, 877
• LCM of 780, 198, 769, 538, 815
• LCM of 494, 664, 840, 647, 621

1. What is the LCM of 828, 471, 327, 793, 164?

Answer: LCM of 828, 471, 327, 793, 164 is 460695034332.

2. How to calculate the LCM of 828, 471, 327, 793, 164?

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 828, 471, 327, 793, 164.

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}.