Given numbers are 187,669,313,408

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

The LCM of 187,669,313,408 is 313257912.

Find LCM of 187,669,313,408 with Prime Factorization

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

3 x 17 x 11 x 223 x 313 x 8 = 313257912

Therefore, the lowest common multiple of 187,669,313,408 is 313257912.

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.

187 x 669 x 313 x 408 = 15976153512

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.

187 : 1, 11, 17, 187

669 : 1, 3, 223, 669

313 : 1, 313

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,669,313,408, is 1.

Now, the common factors can be found like this.

187:11x 17

669:3x 223

313:313

408:2x 2x 2x 3x 17

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

3x 17 = 51

Therefore, the value for common factors is 51.

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 = 15976153512/(1x51)

LCM = 15976153512/51

LCM = 313257912

Thus, we can understand that the LCM of 187,669,313,408 is 313257912.

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

• LCM of 165, 682, 443, 733
• LCM of 978, 465, 666, 470
• LCM of 134, 981, 218, 254
• LCM of 296, 552, 933, 247
• LCM of 171, 790, 973, 315

1. What is the LCM of 187, 669, 313, 408?

Answer: LCM of 187, 669, 313, 408 is 313257912.

2. How to calculate the LCM of 187, 669, 313, 408?

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 187, 669, 313, 408.

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}.