Given numbers are 936,463,214

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

The LCM of 936,463,214 is 46370376.

Find LCM of 936,463,214 with Prime Factorization

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

2 x 468 x 463 x 107 = 46370376

Therefore, the lowest common multiple of 936,463,214 is 46370376.

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.

936 x 463 x 214 = 92740752

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.

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

463 : 1, 463

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,463,214, is 1.

Now, the common factors can be found like this.

936:2x 2x 2x 3x 3x 13

463:463

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 = 92740752/(1x2)

LCM = 92740752/2

LCM = 46370376

Thus, we can understand that the LCM of 936,463,214 is 46370376.

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

• LCM of 745, 100, 950
• LCM of 141, 825, 743
• LCM of 142, 914, 267
• LCM of 186, 759, 827
• LCM of 127, 656, 202

1. What is the LCM of 936, 463, 214?

Answer: LCM of 936, 463, 214 is 46370376.

2. How to calculate the LCM of 936, 463, 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 936, 463, 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}.