Given numbers are 313,115,115,465

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

The LCM of 313,115,115,465 is 3347535.

Find LCM of 313,115,115,465 with Prime Factorization

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

5 x 23 x 313 x 1 x 1 x 93 = 3347535

Therefore, the lowest common multiple of 313,115,115,465 is 3347535.

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.

313 x 115 x 115 x 465 = 1924832625

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.

313 : 1, 313

115 : 1, 5, 23, 115

115 : 1, 5, 23, 115

465 : 1, 3, 5, 15, 31, 93, 155, 465

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,115,115,465, is 1.

Now, the common factors can be found like this.

313:313

115:5x 23

115:5x 23

465:3x 5x 31

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

5x 5x 23 = 575

Therefore, the value for common factors is 575.

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 = 1924832625/(1x575)

LCM = 1924832625/575

LCM = 3347535

Thus, we can understand that the LCM of 313,115,115,465 is 3347535.

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

• LCM of 759, 788, 163, 927
• LCM of 188, 571, 208, 728
• LCM of 417, 440, 589, 267
• LCM of 887, 753, 549, 180
• LCM of 164, 348, 133, 347

1. What is the LCM of 313, 115, 115, 465?

Answer: LCM of 313, 115, 115, 465 is 3347535.

2. How to calculate the LCM of 313, 115, 115, 465?

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 313, 115, 115, 465.

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}.