Given numbers are 912,336,948,416

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

The LCM of 912,336,948,416 is 13112736.

Find LCM of 912,336,948,416 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 19 x 7 x 79 x 26 = 13112736

Therefore, the lowest common multiple of 912,336,948,416 is 13112736.

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.

912 x 336 x 948 x 416 = 120846974976

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,336,948,416, is 4.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

336:2x 2x 2x 2x 3x 7

948:2x 2x 3x 79

416:2x 2x 2x 2x 2x 13

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 2x 3x 3 = 2304

Therefore, the value for common factors is 2304.

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 = 120846974976/(4x2304)

LCM = 120846974976/9216

LCM = 13112736

Thus, we can understand that the LCM of 912,336,948,416 is 13112736.

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

• LCM of 811, 342, 828, 389
• LCM of 870, 719, 822, 267
• LCM of 583, 413, 696, 863
• LCM of 943, 309, 414, 504
• LCM of 645, 622, 896, 172

1. What is the LCM of 912, 336, 948, 416?

Answer: LCM of 912, 336, 948, 416 is 13112736.

2. How to calculate the LCM of 912, 336, 948, 416?

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 912, 336, 948, 416.

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}.