Given numbers are 824,793,214,208,427

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

The LCM of 824,793,214,208,427 is 978841136.

Find LCM of 824,793,214,208,427 with Prime Factorization

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

2 x 2 x 2 x 13 x 61 x 103 x 1 x 107 x 2 x 7 = 978841136

Therefore, the lowest common multiple of 824,793,214,208,427 is 978841136.

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.

824 x 793 x 214 x 208 x 427 = 12419536333568

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

793 : 1, 13, 61, 793

214 : 1, 2, 107, 214

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,793,214,208,427, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

793:13x 61

214:2x 107

208:2x 2x 2x 2x 13

427:7x 61

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 13x 61 = 12688

Therefore, the value for common factors is 12688.

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 = 12419536333568/(1x12688)

LCM = 12419536333568/12688

LCM = 978841136

Thus, we can understand that the LCM of 824,793,214,208,427 is 978841136.

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

• LCM of 306, 282, 123, 602, 229
• LCM of 363, 505, 754, 371, 219
• LCM of 112, 792, 190, 857, 593
• LCM of 585, 982, 915, 692, 327
• LCM of 222, 601, 819, 158, 719

1. What is the LCM of 824, 793, 214, 208, 427?

Answer: LCM of 824, 793, 214, 208, 427 is 978841136.

2. How to calculate the LCM of 824, 793, 214, 208, 427?

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 824, 793, 214, 208, 427.

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}.