Given numbers are 936,816,272,214

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

The LCM of 936,816,272,214 is 3405168.

Find LCM of 936,816,272,214 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 17 x 39 x 1 x 1 x 107 = 3405168

Therefore, the lowest common multiple of 936,816,272,214 is 3405168.

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 816 x 272 x 214 = 44457873408

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

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

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 936,816,272,214, is 2.

Now, the common factors can be found like this.

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

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

272:2x 2x 2x 2x 17

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.

2x 2x 2x 2x 2x 2x 2x 3x 17 = 6528

Therefore, the value for common factors is 6528.

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 = 44457873408/(2x6528)

LCM = 44457873408/13056

LCM = 3405168

Thus, we can understand that the LCM of 936,816,272,214 is 3405168.

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

• LCM of 791, 129, 786, 436
• LCM of 149, 632, 573, 310
• LCM of 312, 390, 285, 615
• LCM of 126, 695, 835, 554
• LCM of 631, 739, 209, 835

1. What is the LCM of 936, 816, 272, 214?

Answer: LCM of 936, 816, 272, 214 is 3405168.

2. How to calculate the LCM of 936, 816, 272, 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, 816, 272, 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}.