Given numbers are 271,978,217,638,682

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

The LCM of 271,978,217,638,682 is 18346725474.

Find LCM of 271,978,217,638,682 with Prime Factorization

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

2 x 11 x 31 x 271 x 489 x 7 x 29 x 1 = 18346725474

Therefore, the lowest common multiple of 271,978,217,638,682 is 18346725474.

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 978 x 217 x 638 x 682 = 25024933546536

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

978 : 1, 2, 3, 6, 163, 326, 489, 978

217 : 1, 7, 31, 217

638 : 1, 2, 11, 22, 29, 58, 319, 638

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,978,217,638,682, is 1.

Now, the common factors can be found like this.

271:271

978:2x 3x 163

217:7x 31

638:2x 11x 29

682:2x 11x 31

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 11x 31 = 1364

Therefore, the value for common factors is 1364.

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 = 25024933546536/(1x1364)

LCM = 25024933546536/1364

LCM = 18346725474

Thus, we can understand that the LCM of 271,978,217,638,682 is 18346725474.

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

• LCM of 661, 758, 909, 297, 570
• LCM of 717, 201, 314, 872, 723
• LCM of 510, 590, 684, 901, 333
• LCM of 239, 516, 217, 501, 833
• LCM of 778, 999, 815, 387, 777

1. What is the LCM of 271, 978, 217, 638, 682?

Answer: LCM of 271, 978, 217, 638, 682 is 18346725474.

2. How to calculate the LCM of 271, 978, 217, 638, 682?

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, 978, 217, 638, 682.

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}.