Given numbers are 381,257,385,514

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

The LCM of 381,257,385,514 is 75396090.

Find LCM of 381,257,385,514 with Prime Factorization

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

257 x 381 x 1 x 385 x 2 = 75396090

Therefore, the lowest common multiple of 381,257,385,514 is 75396090.

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 257 x 385 x 514 = 19376795130

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

257 : 1, 257

385 : 1, 5, 7, 11, 35, 55, 77, 385

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,257,385,514, is 1.

Now, the common factors can be found like this.

381:3x 127

257:257

385:5x 7x 11

514:2x 257

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

257 = 257

Therefore, the value for common factors is 257.

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 = 19376795130/(1x257)

LCM = 19376795130/257

LCM = 75396090

Thus, we can understand that the LCM of 381,257,385,514 is 75396090.

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

• LCM of 798, 897, 653, 194
• LCM of 249, 361, 666, 944
• LCM of 183, 232, 905, 211
• LCM of 841, 977, 150, 885
• LCM of 137, 978, 322, 439

1. What is the LCM of 381, 257, 385, 514?

Answer: LCM of 381, 257, 385, 514 is 75396090.

2. How to calculate the LCM of 381, 257, 385, 514?

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, 257, 385, 514.

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}.