Given numbers are 257,392,304,720

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

The LCM of 257,392,304,720 is 172272240.

Find LCM of 257,392,304,720 with Prime Factorization

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

2 x 2 x 2 x 2 x 257 x 49 x 19 x 45 = 172272240

Therefore, the lowest common multiple of 257,392,304,720 is 172272240.

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 392 x 304 x 720 = 22050846720

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

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 257,392,304,720, is 1.

Now, the common factors can be found like this.

257:257

392:2x 2x 2x 7x 7

304:2x 2x 2x 2x 19

720:2x 2x 2x 2x 3x 3x 5

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 2x 2x 2x 2x 2 = 128

Therefore, the value for common factors is 128.

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 = 22050846720/(1x128)

LCM = 22050846720/128

LCM = 172272240

Thus, we can understand that the LCM of 257,392,304,720 is 172272240.

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

• LCM of 536, 113, 189, 150
• LCM of 556, 788, 973, 741
• LCM of 805, 885, 701, 111
• LCM of 783, 327, 804, 367
• LCM of 643, 443, 653, 188

1. What is the LCM of 257, 392, 304, 720?

Answer: LCM of 257, 392, 304, 720 is 172272240.

2. How to calculate the LCM of 257, 392, 304, 720?

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, 392, 304, 720.

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}.