Given numbers are 789,394,214

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

The LCM of 789,394,214 is 33262662.

Find LCM of 789,394,214 with Prime Factorization

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

2 x 789 x 197 x 107 = 33262662

Therefore, the lowest common multiple of 789,394,214 is 33262662.

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.

789 x 394 x 214 = 66525324

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.

789 : 1, 3, 263, 789

394 : 1, 2, 197, 394

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,394,214, is 1.

Now, the common factors can be found like this.

789:3x 263

394:2x 197

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 = 66525324/(1x2)

LCM = 66525324/2

LCM = 33262662

Thus, we can understand that the LCM of 789,394,214 is 33262662.

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

• LCM of 854, 713, 796
• LCM of 545, 152, 141
• LCM of 437, 461, 441
• LCM of 137, 254, 397
• LCM of 602, 570, 670

1. What is the LCM of 789, 394, 214?

Answer: LCM of 789, 394, 214 is 33262662.

2. How to calculate the LCM of 789, 394, 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 789, 394, 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}.