Given numbers are 257,187,387,312

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

The LCM of 257,187,387,312 is 1934278632.

Find LCM of 257,187,387,312 with Prime Factorization

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

3 x 257 x 187 x 129 x 104 = 1934278632

Therefore, the lowest common multiple of 257,187,387,312 is 1934278632.

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.

257 x 187 x 387 x 312 = 5802835896

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.

257 : 1, 257

187 : 1, 11, 17, 187

387 : 1, 3, 9, 43, 129, 387

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,187,387,312, is 1.

Now, the common factors can be found like this.

257:257

187:11x 17

387:3x 3x 43

312:2x 2x 2x 3x 13

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

3 = 3

Therefore, the value for common factors is 3.

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 = 5802835896/(1x3)

LCM = 5802835896/3

LCM = 1934278632

Thus, we can understand that the LCM of 257,187,387,312 is 1934278632.

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

• LCM of 712, 479, 264, 118
• LCM of 231, 481, 175, 810
• LCM of 132, 613, 429, 727
• LCM of 692, 689, 454, 160
• LCM of 315, 672, 336, 584

1. What is the LCM of 257, 187, 387, 312?

Answer: LCM of 257, 187, 387, 312 is 1934278632.

2. How to calculate the LCM of 257, 187, 387, 312?

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 257, 187, 387, 312.

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}.