Given numbers are 381,234,906,716

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

The LCM of 381,234,906,716 is 1606495644.

Find LCM of 381,234,906,716 with Prime Factorization

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

2 x 3 x 127 x 39 x 151 x 358 = 1606495644

Therefore, the lowest common multiple of 381,234,906,716 is 1606495644.

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 234 x 906 x 716 = 57833843184

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

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

906 : 1, 2, 3, 6, 151, 302, 453, 906

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,234,906,716, is 1.

Now, the common factors can be found like this.

381:3x 127

234:2x 3x 3x 13

906:2x 3x 151

716:2x 2x 179

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 57833843184/(1x36)

LCM = 57833843184/36

LCM = 1606495644

Thus, we can understand that the LCM of 381,234,906,716 is 1606495644.

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

• LCM of 566, 656, 430, 872
• LCM of 984, 996, 501, 920
• LCM of 192, 775, 859, 765
• LCM of 323, 248, 976, 869
• LCM of 267, 264, 172, 444

1. What is the LCM of 381, 234, 906, 716?

Answer: LCM of 381, 234, 906, 716 is 1606495644.

2. How to calculate the LCM of 381, 234, 906, 716?

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, 234, 906, 716.

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}.