Given numbers are 85,68,578

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

The LCM of 85,68,578 is 5780.

Find LCM of 85,68,578 with Prime Factorization

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

2 x 17 x 5 x 2 x 17 = 5780

Therefore, the lowest common multiple of 85,68,578 is 5780.

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.

85 x 68 x 578 = 3340840

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.

85 : 1, 5, 17, 85

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

578 : 1, 2, 17, 34, 289, 578

17 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 85,68,578, is 17.

Now, the common factors can be found like this.

85:5x 17

68:2x 2x 17

578:2x 17x 17

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

2x 17 = 34

Therefore, the value for common factors is 34.

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 = 3340840/(17x34)

LCM = 3340840/578

LCM = 5780

Thus, we can understand that the LCM of 85,68,578 is 5780.

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

• LCM of 78, 37, 362
• LCM of 87, 23, 908
• LCM of 32, 78, 448
• LCM of 18, 33, 695
• LCM of 63, 77, 275

1. What is the LCM of 85, 68, 578?

Answer: LCM of 85, 68, 578 is 5780.

2. How to calculate the LCM of 85, 68, 578?

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 85, 68, 578.

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}.