Given numbers are 786,16,214

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

The LCM of 786,16,214 is 672816.

Find LCM of 786,16,214 with Prime Factorization

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

2 x 393 x 8 x 107 = 672816

Therefore, the lowest common multiple of 786,16,214 is 672816.

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.

786 x 16 x 214 = 2691264

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.

786 : 1, 2, 3, 6, 131, 262, 393, 786

16 : 1, 2, 4, 8, 16

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,16,214, is 2.

Now, the common factors can be found like this.

786:2x 3x 131

16:2x 2x 2x 2

214:2x 107

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 = 2691264/(2x2)

LCM = 2691264/4

LCM = 672816

Thus, we can understand that the LCM of 786,16,214 is 672816.

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

• LCM of 261, 61, 791
• LCM of 207, 85, 641
• LCM of 850, 52, 536
• LCM of 446, 13, 375
• LCM of 691, 65, 621

1. What is the LCM of 786, 16, 214?

Answer: LCM of 786, 16, 214 is 672816.

2. How to calculate the LCM of 786, 16, 214?

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 786, 16, 214.

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}.