Given numbers are 538,272,271,214,351

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

The LCM of 538,272,271,214,351 is 744700026096.

Find LCM of 538,272,271,214,351 with Prime Factorization

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

2 x 269 x 136 x 271 x 107 x 351 = 744700026096

Therefore, the lowest common multiple of 538,272,271,214,351 is 744700026096.

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.

538 x 272 x 271 x 214 x 351 = 2978800104384

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.

538 : 1, 2, 269, 538

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

271 : 1, 271

214 : 1, 2, 107, 214

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,272,271,214,351, is 1.

Now, the common factors can be found like this.

538:2x 269

272:2x 2x 2x 2x 17

271:271

214:2x 107

351:3x 3x 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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 2978800104384/(1x4)

LCM = 2978800104384/4

LCM = 744700026096

Thus, we can understand that the LCM of 538,272,271,214,351 is 744700026096.

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

• LCM of 619, 956, 113, 900, 153
• LCM of 301, 234, 474, 352, 929
• LCM of 758, 315, 870, 116, 642
• LCM of 884, 191, 113, 821, 115
• LCM of 694, 806, 575, 231, 797

1. What is the LCM of 538, 272, 271, 214, 351?

Answer: LCM of 538, 272, 271, 214, 351 is 744700026096.

2. How to calculate the LCM of 538, 272, 271, 214, 351?

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 538, 272, 271, 214, 351.

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}.