Given numbers are 165,225,313,656

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

The LCM of 165,225,313,656 is 508186800.

Find LCM of 165,225,313,656 with Prime Factorization

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

3 x 5 x 11 x 15 x 313 x 656 = 508186800

Therefore, the lowest common multiple of 165,225,313,656 is 508186800.

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.

165 x 225 x 313 x 656 = 7622802000

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.

165 : 1, 3, 5, 11, 15, 33, 55, 165

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

313 : 1, 313

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,225,313,656, is 1.

Now, the common factors can be found like this.

165:3x 5x 11

225:3x 3x 5x 5

313:313

656:2x 2x 2x 2x 41

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

3x 5 = 15

Therefore, the value for common factors is 15.

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 = 7622802000/(1x15)

LCM = 7622802000/15

LCM = 508186800

Thus, we can understand that the LCM of 165,225,313,656 is 508186800.

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

• LCM of 428, 765, 894, 884
• LCM of 620, 719, 550, 580
• LCM of 722, 866, 140, 536
• LCM of 510, 648, 864, 260
• LCM of 681, 571, 269, 121

1. What is the LCM of 165, 225, 313, 656?

Answer: LCM of 165, 225, 313, 656 is 508186800.

2. How to calculate the LCM of 165, 225, 313, 656?

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 165, 225, 313, 656.

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}.