Given numbers are 171,331,777,814

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

The LCM of 171,331,777,814 is 322512498.

Find LCM of 171,331,777,814 with Prime Factorization

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

3 x 37 x 57 x 331 x 7 x 22 = 322512498

Therefore, the lowest common multiple of 171,331,777,814 is 322512498.

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.

171 x 331 x 777 x 814 = 35798887278

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.

171 : 1, 3, 9, 19, 57, 171

331 : 1, 331

777 : 1, 3, 7, 21, 37, 111, 259, 777

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 171,331,777,814, is 1.

Now, the common factors can be found like this.

171:3x 3x 19

331:331

777:3x 7x 37

814:2x 11x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 37 = 111

Therefore, the value for common factors is 111.

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 = 35798887278/(1x111)

LCM = 35798887278/111

LCM = 322512498

Thus, we can understand that the LCM of 171,331,777,814 is 322512498.

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

• LCM of 436, 790, 152, 740
• LCM of 432, 155, 637, 510
• LCM of 190, 773, 145, 967
• LCM of 308, 194, 768, 732
• LCM of 104, 875, 135, 966

1. What is the LCM of 171, 331, 777, 814?

Answer: LCM of 171, 331, 777, 814 is 322512498.

2. How to calculate the LCM of 171, 331, 777, 814?

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 171, 331, 777, 814.

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}.