Given numbers are 394,270,689,142

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

The LCM of 394,270,689,142 is 2602001610.

Find LCM of 394,270,689,142 with Prime Factorization

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

2 x 197 x 135 x 689 x 71 = 2602001610

Therefore, the lowest common multiple of 394,270,689,142 is 2602001610.

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 270 x 689 x 142 = 10408006440

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

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

689 : 1, 13, 53, 689

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,270,689,142, is 1.

Now, the common factors can be found like this.

394:2x 197

270:2x 3x 3x 3x 5

689:13x 53

142:2x 71

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10408006440/(1x4)

LCM = 10408006440/4

LCM = 2602001610

Thus, we can understand that the LCM of 394,270,689,142 is 2602001610.

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

• LCM of 402, 457, 656, 643
• LCM of 212, 568, 697, 385
• LCM of 770, 792, 903, 644
• LCM of 892, 246, 946, 728
• LCM of 238, 816, 622, 236

1. What is the LCM of 394, 270, 689, 142?

Answer: LCM of 394, 270, 689, 142 is 2602001610.

2. How to calculate the LCM of 394, 270, 689, 142?

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, 270, 689, 142.

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}.