Given numbers are 394,912,924,684

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

The LCM of 394,912,924,684 is 41502384.

Find LCM of 394,912,924,684 with Prime Factorization

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

2 x 2 x 3 x 19 x 197 x 4 x 77 x 3 = 41502384

Therefore, the lowest common multiple of 394,912,924,684 is 41502384.

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.

394 x 912 x 924 x 684 = 227101045248

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.

394 : 1, 2, 197, 394

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,912,924,684, is 2.

Now, the common factors can be found like this.

394:2x 197

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

924:2x 2x 3x 7x 11

684:2x 2x 3x 3x 19

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 19 = 2736

Therefore, the value for common factors is 2736.

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 = 227101045248/(2x2736)

LCM = 227101045248/5472

LCM = 41502384

Thus, we can understand that the LCM of 394,912,924,684 is 41502384.

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

• LCM of 922, 549, 802, 608
• LCM of 919, 864, 589, 632
• LCM of 793, 756, 477, 559
• LCM of 822, 600, 519, 475
• LCM of 516, 311, 197, 640

1. What is the LCM of 394, 912, 924, 684?

Answer: LCM of 394, 912, 924, 684 is 41502384.

2. How to calculate the LCM of 394, 912, 924, 684?

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 394, 912, 924, 684.

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}.