Given numbers are 239,257,307,910,520

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

The LCM of 239,257,307,910,520 is 68638974040.

Find LCM of 239,257,307,910,520 with Prime Factorization

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

2 x 5 x 13 x 239 x 257 x 307 x 7 x 4 = 68638974040

Therefore, the lowest common multiple of 239,257,307,910,520 is 68638974040.

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.

239 x 257 x 307 x 910 x 520 = 8923066625200

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.

239 : 1, 239

257 : 1, 257

307 : 1, 307

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 239,257,307,910,520, is 1.

Now, the common factors can be found like this.

239:239

257:257

307:307

910:2x 5x 7x 13

520:2x 2x 2x 5x 13

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

2x 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 8923066625200/(1x130)

LCM = 8923066625200/130

LCM = 68638974040

Thus, we can understand that the LCM of 239,257,307,910,520 is 68638974040.

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

• LCM of 950, 341, 569, 396, 460
• LCM of 871, 404, 221, 735, 274
• LCM of 166, 477, 425, 480, 214
• LCM of 848, 787, 120, 978, 489
• LCM of 494, 441, 880, 641, 265

1. What is the LCM of 239, 257, 307, 910, 520?

Answer: LCM of 239, 257, 307, 910, 520 is 68638974040.

2. How to calculate the LCM of 239, 257, 307, 910, 520?

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 239, 257, 307, 910, 520.

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}.