Given numbers are 712,89,305

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

The LCM of 712,89,305 is 217160.

Find LCM of 712,89,305 with Prime Factorization

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

89 x 8 x 1 x 305 = 217160

Therefore, the lowest common multiple of 712,89,305 is 217160.

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.

712 x 89 x 305 = 19327240

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.

712 : 1, 2, 4, 8, 89, 178, 356, 712

89 : 1, 89

305 : 1, 5, 61, 305

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 712,89,305, is 1.

Now, the common factors can be found like this.

712:2x 2x 2x 89

89:89

305:5x 61

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

89 = 89

Therefore, the value for common factors is 89.

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 = 19327240/(1x89)

LCM = 19327240/89

LCM = 217160

Thus, we can understand that the LCM of 712,89,305 is 217160.

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

• LCM of 208, 71, 614
• LCM of 993, 48, 646
• LCM of 348, 96, 449
• LCM of 444, 90, 228
• LCM of 733, 52, 638

1. What is the LCM of 712, 89, 305?

Answer: LCM of 712, 89, 305 is 217160.

2. How to calculate the LCM of 712, 89, 305?

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 712, 89, 305.

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}.