Given numbers are 345,70,587

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

The LCM of 345,70,587 is 2835210.

Find LCM of 345,70,587 with Prime Factorization

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

5 x 69 x 14 x 587 = 2835210

Therefore, the lowest common multiple of 345,70,587 is 2835210.

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.

345 x 70 x 587 = 14176050

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.

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

70 : 1, 2, 5, 7, 10, 14, 35, 70

587 : 1, 587

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,70,587, is 1.

Now, the common factors can be found like this.

345:3x 5x 23

70:2x 5x 7

587:587

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 = 14176050/(1x5)

LCM = 14176050/5

LCM = 2835210

Thus, we can understand that the LCM of 345,70,587 is 2835210.

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

• LCM of 733, 63, 144
• LCM of 327, 19, 775
• LCM of 755, 64, 321
• LCM of 561, 47, 367
• LCM of 620, 64, 214

1. What is the LCM of 345, 70, 587?

Answer: LCM of 345, 70, 587 is 2835210.

2. How to calculate the LCM of 345, 70, 587?

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 345, 70, 587.

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}.