Given numbers are 442,711,198,181,936

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

The LCM of 442,711,198,181,936 is 2502782568.

Find LCM of 442,711,198,181,936 with Prime Factorization

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

2 x 3 x 3 x 13 x 17 x 79 x 11 x 181 x 4 = 2502782568

Therefore, the lowest common multiple of 442,711,198,181,936 is 2502782568.

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.

442 x 711 x 198 x 181 x 936 = 10541720176416

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

711 : 1, 3, 9, 79, 237, 711

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

181 : 1, 181

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,711,198,181,936, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

711:3x 3x 79

198:2x 3x 3x 11

181:181

936:2x 2x 2x 3x 3x 13

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 3x 3x 13 = 4212

Therefore, the value for common factors is 4212.

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 = 10541720176416/(1x4212)

LCM = 10541720176416/4212

LCM = 2502782568

Thus, we can understand that the LCM of 442,711,198,181,936 is 2502782568.

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

• LCM of 868, 179, 610, 905, 499
• LCM of 748, 263, 209, 673, 683
• LCM of 874, 162, 281, 500, 139
• LCM of 367, 720, 413, 640, 163
• LCM of 240, 388, 637, 385, 932

1. What is the LCM of 442, 711, 198, 181, 936?

Answer: LCM of 442, 711, 198, 181, 936 is 2502782568.

2. How to calculate the LCM of 442, 711, 198, 181, 936?

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 442, 711, 198, 181, 936.

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}.