Given numbers are 172,272,278,257

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

The LCM of 172,272,278,257 is 417816208.

Find LCM of 172,272,278,257 with Prime Factorization

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

2 x 2 x 43 x 68 x 139 x 257 = 417816208

Therefore, the lowest common multiple of 172,272,278,257 is 417816208.

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.

172 x 272 x 278 x 257 = 3342529664

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.

172 : 1, 2, 4, 43, 86, 172

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

278 : 1, 2, 139, 278

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 172,272,278,257, is 1.

Now, the common factors can be found like this.

172:2x 2x 43

272:2x 2x 2x 2x 17

278:2x 139

257:257

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3342529664/(1x8)

LCM = 3342529664/8

LCM = 417816208

Thus, we can understand that the LCM of 172,272,278,257 is 417816208.

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

• LCM of 825, 535, 213, 638
• LCM of 297, 946, 552, 918
• LCM of 768, 482, 382, 627
• LCM of 889, 149, 523, 925
• LCM of 261, 765, 669, 362

1. What is the LCM of 172, 272, 278, 257?

Answer: LCM of 172, 272, 278, 257 is 417816208.

2. How to calculate the LCM of 172, 272, 278, 257?

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 172, 272, 278, 257.

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}.