Given numbers are 255,68,689

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

The LCM of 255,68,689 is 702780.

Find LCM of 255,68,689 with Prime Factorization

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

17 x 15 x 4 x 689 = 702780

Therefore, the lowest common multiple of 255,68,689 is 702780.

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.

255 x 68 x 689 = 11947260

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.

255 : 1, 3, 5, 15, 17, 51, 85, 255

68 : 1, 2, 4, 17, 34, 68

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 255,68,689, is 1.

Now, the common factors can be found like this.

255:3x 5x 17

68:2x 2x 17

689:13x 53

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

17 = 17

Therefore, the value for common factors is 17.

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 = 11947260/(1x17)

LCM = 11947260/17

LCM = 702780

Thus, we can understand that the LCM of 255,68,689 is 702780.

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

• LCM of 200, 46, 356
• LCM of 843, 22, 567
• LCM of 442, 46, 803
• LCM of 408, 31, 701
• LCM of 540, 34, 275

1. What is the LCM of 255, 68, 689?

Answer: LCM of 255, 68, 689 is 702780.

2. How to calculate the LCM of 255, 68, 689?

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 255, 68, 689.

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}.