Given numbers are 271,328,423,642

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

The LCM of 271,328,423,642 is 4023159768.

Find LCM of 271,328,423,642 with Prime Factorization

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

2 x 3 x 271 x 164 x 141 x 107 = 4023159768

Therefore, the lowest common multiple of 271,328,423,642 is 4023159768.

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.

271 x 328 x 423 x 642 = 24138958608

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.

271 : 1, 271

328 : 1, 2, 4, 8, 41, 82, 164, 328

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

642 : 1, 2, 3, 6, 107, 214, 321, 642

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,328,423,642, is 1.

Now, the common factors can be found like this.

271:271

328:2x 2x 2x 41

423:3x 3x 47

642:2x 3x 107

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 24138958608/(1x6)

LCM = 24138958608/6

LCM = 4023159768

Thus, we can understand that the LCM of 271,328,423,642 is 4023159768.

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

• LCM of 934, 614, 932, 582
• LCM of 259, 999, 314, 452
• LCM of 770, 943, 142, 552
• LCM of 359, 306, 563, 746
• LCM of 332, 527, 572, 980

1. What is the LCM of 271, 328, 423, 642?

Answer: LCM of 271, 328, 423, 642 is 4023159768.

2. How to calculate the LCM of 271, 328, 423, 642?

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 271, 328, 423, 642.

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}.