Given numbers are 816,946,394,336

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

The LCM of 816,946,394,336 is 532249872.

Find LCM of 816,946,394,336 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 473 x 197 x 7 = 532249872

Therefore, the lowest common multiple of 816,946,394,336 is 532249872.

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.

816 x 946 x 394 x 336 = 102191975424

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.

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

946 : 1, 2, 11, 22, 43, 86, 473, 946

394 : 1, 2, 197, 394

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 816,946,394,336, is 2.

Now, the common factors can be found like this.

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

946:2x 11x 43

394:2x 197

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

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 3 = 96

Therefore, the value for common factors is 96.

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 = 102191975424/(2x96)

LCM = 102191975424/192

LCM = 532249872

Thus, we can understand that the LCM of 816,946,394,336 is 532249872.

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

• LCM of 300, 140, 617, 714
• LCM of 296, 680, 757, 709
• LCM of 910, 268, 697, 150
• LCM of 792, 637, 506, 137
• LCM of 630, 552, 100, 928

1. What is the LCM of 816, 946, 394, 336?

Answer: LCM of 816, 946, 394, 336 is 532249872.

2. How to calculate the LCM of 816, 946, 394, 336?

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 816, 946, 394, 336.

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}.