Given numbers are 381,538,816,175

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

The LCM of 381,538,816,175 is 4878476400.

Find LCM of 381,538,816,175 with Prime Factorization

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

2 x 3 x 127 x 269 x 136 x 175 = 4878476400

Therefore, the lowest common multiple of 381,538,816,175 is 4878476400.

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 538 x 816 x 175 = 29270858400

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

538 : 1, 2, 269, 538

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,538,816,175, is 1.

Now, the common factors can be found like this.

381:3x 127

538:2x 269

816:2x 2x 2x 2x 3x 17

175:5x 5x 7

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 29270858400/(1x6)

LCM = 29270858400/6

LCM = 4878476400

Thus, we can understand that the LCM of 381,538,816,175 is 4878476400.

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

• LCM of 744, 179, 786, 441
• LCM of 505, 530, 445, 314
• LCM of 605, 834, 479, 696
• LCM of 337, 383, 835, 535
• LCM of 494, 858, 554, 951

1. What is the LCM of 381, 538, 816, 175?

Answer: LCM of 381, 538, 816, 175 is 4878476400.

2. How to calculate the LCM of 381, 538, 816, 175?

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, 538, 816, 175.

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}.