Given numbers are 936,214,816,867

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

The LCM of 936,214,816,867 is 57887856.

Find LCM of 936,214,816,867 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 39 x 107 x 2 x 17 = 57887856

Therefore, the lowest common multiple of 936,214,816,867 is 57887856.

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 214 x 816 x 867 = 141709471488

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

214 : 1, 2, 107, 214

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,214,816,867, is 1.

Now, the common factors can be found like this.

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

214:2x 107

816:2x 2x 2x 2x 3x 17

867:3x 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.

2x 2x 2x 2x 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 141709471488/(1x2448)

LCM = 141709471488/2448

LCM = 57887856

Thus, we can understand that the LCM of 936,214,816,867 is 57887856.

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

• LCM of 630, 240, 863, 209
• LCM of 438, 999, 438, 718
• LCM of 313, 138, 216, 866
• LCM of 962, 186, 329, 225
• LCM of 224, 417, 575, 353

1. What is the LCM of 936, 214, 816, 867?

Answer: LCM of 936, 214, 816, 867 is 57887856.

2. How to calculate the LCM of 936, 214, 816, 867?

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, 214, 816, 867.

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}.