Given numbers are 540,436,416,159,840

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

The LCM of 540,436,416,159,840 is 2271054240.

Find LCM of 540,436,416,159,840 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 9 x 109 x 52 x 53 x 7 = 2271054240

Therefore, the lowest common multiple of 540,436,416,159,840 is 2271054240.

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.

540 x 436 x 416 x 159 x 840 = 13081272422400

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.

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

436 : 1, 2, 4, 109, 218, 436

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

159 : 1, 3, 53, 159

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,436,416,159,840, is 1.

Now, the common factors can be found like this.

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

436:2x 2x 109

416:2x 2x 2x 2x 2x 13

159:3x 53

840:2x 2x 2x 3x 5x 7

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 2x 3x 3x 5 = 5760

Therefore, the value for common factors is 5760.

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 = 13081272422400/(1x5760)

LCM = 13081272422400/5760

LCM = 2271054240

Thus, we can understand that the LCM of 540,436,416,159,840 is 2271054240.

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

• LCM of 819, 501, 812, 881, 752
• LCM of 818, 151, 829, 658, 482
• LCM of 903, 160, 881, 909, 431
• LCM of 985, 744, 870, 115, 140
• LCM of 675, 481, 420, 131, 393

1. What is the LCM of 540, 436, 416, 159, 840?

Answer: LCM of 540, 436, 416, 159, 840 is 2271054240.

2. How to calculate the LCM of 540, 436, 416, 159, 840?

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 540, 436, 416, 159, 840.

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}.