Given numbers are 319,40,285

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

The LCM of 319,40,285 is 727320.

Find LCM of 319,40,285 with Prime Factorization

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

5 x 319 x 8 x 57 = 727320

Therefore, the lowest common multiple of 319,40,285 is 727320.

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.

319 x 40 x 285 = 3636600

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.

319 : 1, 11, 29, 319

40 : 1, 2, 4, 5, 8, 10, 20, 40

285 : 1, 3, 5, 15, 19, 57, 95, 285

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,40,285, is 1.

Now, the common factors can be found like this.

319:11x 29

40:2x 2x 2x 5

285:3x 5x 19

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

5 = 5

Therefore, the value for common factors is 5.

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 = 3636600/(1x5)

LCM = 3636600/5

LCM = 727320

Thus, we can understand that the LCM of 319,40,285 is 727320.

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

• LCM of 667, 32, 730
• LCM of 349, 90, 454
• LCM of 955, 54, 202
• LCM of 640, 60, 915
• LCM of 419, 13, 222

1. What is the LCM of 319, 40, 285?

Answer: LCM of 319, 40, 285 is 727320.

2. How to calculate the LCM of 319, 40, 285?

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 319, 40, 285.

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}.