Given numbers are 381,208,182,689

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

The LCM of 381,208,182,689 is 29401008.

Find LCM of 381,208,182,689 with Prime Factorization

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

2 x 13 x 381 x 8 x 7 x 53 = 29401008

Therefore, the lowest common multiple of 381,208,182,689 is 29401008.

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.

381 x 208 x 182 x 689 = 9937540704

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.

381 : 1, 3, 127, 381

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

182 : 1, 2, 7, 13, 14, 26, 91, 182

689 : 1, 13, 53, 689

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,208,182,689, is 1.

Now, the common factors can be found like this.

381:3x 127

208:2x 2x 2x 2x 13

182:2x 7x 13

689:13x 53

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

2x 13x 13 = 338

Therefore, the value for common factors is 338.

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 = 9937540704/(1x338)

LCM = 9937540704/338

LCM = 29401008

Thus, we can understand that the LCM of 381,208,182,689 is 29401008.

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

• LCM of 491, 244, 201, 754
• LCM of 586, 337, 656, 385
• LCM of 593, 259, 307, 947
• LCM of 958, 277, 132, 109
• LCM of 738, 504, 967, 868

1. What is the LCM of 381, 208, 182, 689?

Answer: LCM of 381, 208, 182, 689 is 29401008.

2. How to calculate the LCM of 381, 208, 182, 689?

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 381, 208, 182, 689.

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}.