Given numbers are 684,407,394

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

The LCM of 684,407,394 is 54842436.

Find LCM of 684,407,394 with Prime Factorization

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

2 x 342 x 407 x 197 = 54842436

Therefore, the lowest common multiple of 684,407,394 is 54842436.

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.

684 x 407 x 394 = 109684872

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.

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

407 : 1, 11, 37, 407

394 : 1, 2, 197, 394

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,407,394, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

407:11x 37

394:2x 197

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

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 = 109684872/(1x2)

LCM = 109684872/2

LCM = 54842436

Thus, we can understand that the LCM of 684,407,394 is 54842436.

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

• LCM of 786, 338, 970
• LCM of 955, 497, 842
• LCM of 295, 396, 374
• LCM of 772, 817, 189
• LCM of 567, 907, 223

1. What is the LCM of 684, 407, 394?

Answer: LCM of 684, 407, 394 is 54842436.

2. How to calculate the LCM of 684, 407, 394?

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 684, 407, 394.

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}.