Given numbers are 257,423,514

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

The LCM of 257,423,514 is 217422.

Find LCM of 257,423,514 with Prime Factorization

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

257 x 1 x 423 x 2 = 217422

Therefore, the lowest common multiple of 257,423,514 is 217422.

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 423 x 514 = 55877454

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

423 : 1, 3, 9, 47, 141, 423

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,423,514, is 1.

Now, the common factors can be found like this.

257:257

423:3x 3x 47

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 = 55877454/(1x257)

LCM = 55877454/257

LCM = 217422

Thus, we can understand that the LCM of 257,423,514 is 217422.

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

• LCM of 438, 852, 640
• LCM of 855, 451, 828
• LCM of 586, 914, 181
• LCM of 524, 221, 288
• LCM of 723, 182, 766

1. What is the LCM of 257, 423, 514?

Answer: LCM of 257, 423, 514 is 217422.

2. How to calculate the LCM of 257, 423, 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 257, 423, 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}.