Given numbers are 313,391,345,469

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

The LCM of 313,391,345,469 is 860964405.

Find LCM of 313,391,345,469 with Prime Factorization

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

23 x 313 x 17 x 15 x 469 = 860964405

Therefore, the lowest common multiple of 313,391,345,469 is 860964405.

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 391 x 345 x 469 = 19802181315

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

391 : 1, 17, 23, 391

345 : 1, 3, 5, 15, 23, 69, 115, 345

469 : 1, 7, 67, 469

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,391,345,469, is 1.

Now, the common factors can be found like this.

313:313

391:17x 23

345:3x 5x 23

469:7x 67

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

23 = 23

Therefore, the value for common factors is 23.

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 = 19802181315/(1x23)

LCM = 19802181315/23

LCM = 860964405

Thus, we can understand that the LCM of 313,391,345,469 is 860964405.

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

• LCM of 831, 434, 473, 650
• LCM of 782, 790, 650, 149
• LCM of 827, 475, 179, 944
• LCM of 698, 630, 417, 390
• LCM of 137, 950, 600, 599

1. What is the LCM of 313, 391, 345, 469?

Answer: LCM of 313, 391, 345, 469 is 860964405.

2. How to calculate the LCM of 313, 391, 345, 469?

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, 391, 345, 469.

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}.