Given numbers are 834,71,578

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

The LCM of 834,71,578 is 17112846.

Find LCM of 834,71,578 with Prime Factorization

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

2 x 417 x 71 x 289 = 17112846

Therefore, the lowest common multiple of 834,71,578 is 17112846.

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.

834 x 71 x 578 = 34225692

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.

834 : 1, 2, 3, 6, 139, 278, 417, 834

71 : 1, 71

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,71,578, is 1.

Now, the common factors can be found like this.

834:2x 3x 139

71:71

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.

2 = 2

Therefore, the value for common factors is 2.

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 = 34225692/(1x2)

LCM = 34225692/2

LCM = 17112846

Thus, we can understand that the LCM of 834,71,578 is 17112846.

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

• LCM of 643, 13, 852
• LCM of 732, 67, 596
• LCM of 316, 57, 689
• LCM of 439, 88, 807
• LCM of 998, 42, 303

1. What is the LCM of 834, 71, 578?

Answer: LCM of 834, 71, 578 is 17112846.

2. How to calculate the LCM of 834, 71, 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 834, 71, 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}.