Given numbers are 317,701,148,288,427

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

The LCM of 317,701,148,288,427 is 1011112238304.

Find LCM of 317,701,148,288,427 with Prime Factorization

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

2 x 2 x 317 x 701 x 37 x 72 x 427 = 1011112238304

Therefore, the lowest common multiple of 317,701,148,288,427 is 1011112238304.

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.

317 x 701 x 148 x 288 x 427 = 4044448953216

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.

317 : 1, 317

701 : 1, 701

148 : 1, 2, 4, 37, 74, 148

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

427 : 1, 7, 61, 427

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,701,148,288,427, is 1.

Now, the common factors can be found like this.

317:317

701:701

148:2x 2x 37

288:2x 2x 2x 2x 2x 3x 3

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 2 = 4

Therefore, the value for common factors is 4.

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 = 4044448953216/(1x4)

LCM = 4044448953216/4

LCM = 1011112238304

Thus, we can understand that the LCM of 317,701,148,288,427 is 1011112238304.

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

• LCM of 814, 763, 737, 566, 986
• LCM of 932, 840, 845, 167, 174
• LCM of 830, 721, 231, 482, 754
• LCM of 262, 934, 863, 122, 659
• LCM of 551, 230, 683, 547, 128

1. What is the LCM of 317, 701, 148, 288, 427?

Answer: LCM of 317, 701, 148, 288, 427 is 1011112238304.

2. How to calculate the LCM of 317, 701, 148, 288, 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 317, 701, 148, 288, 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}.