Given numbers are 271,680,420,860,540

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

The LCM of 271,680,420,860,540 is 1497643560.

Find LCM of 271,680,420,860,540 with Prime Factorization

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

2 x 2 x 3 x 5 x 271 x 34 x 7 x 43 x 9 = 1497643560

Therefore, the lowest common multiple of 271,680,420,860,540 is 1497643560.

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 680 x 420 x 860 x 540 = 35943445440000

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,680,420,860,540, is 1.

Now, the common factors can be found like this.

271:271

680:2x 2x 2x 5x 17

420:2x 2x 3x 5x 7

860:2x 2x 5x 43

540:2x 2x 3x 3x 3x 5

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 2x 2x 2x 2x 3x 5x 5x 5 = 24000

Therefore, the value for common factors is 24000.

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 = 35943445440000/(1x24000)

LCM = 35943445440000/24000

LCM = 1497643560

Thus, we can understand that the LCM of 271,680,420,860,540 is 1497643560.

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

• LCM of 725, 580, 277, 197, 646
• LCM of 797, 452, 633, 149, 994
• LCM of 791, 506, 376, 205, 217
• LCM of 146, 467, 728, 202, 564
• LCM of 281, 301, 325, 239, 341

1. What is the LCM of 271, 680, 420, 860, 540?

Answer: LCM of 271, 680, 420, 860, 540 is 1497643560.

2. How to calculate the LCM of 271, 680, 420, 860, 540?

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, 680, 420, 860, 540.

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}.