Given numbers are 845,169,770,538,540

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

The LCM of 845,169,770,538,540 is 1890268380.

Find LCM of 845,169,770,538,540 with Prime Factorization

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

2 x 5 x 13 x 13 x 1 x 1 x 77 x 269 x 54 = 1890268380

Therefore, the lowest common multiple of 845,169,770,538,540 is 1890268380.

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.

845 x 169 x 770 x 538 x 540 = 31945535622000

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.

845 : 1, 5, 13, 65, 169, 845

169 : 1, 13, 169

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

538 : 1, 2, 269, 538

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 845,169,770,538,540, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

169:13x 13

770:2x 5x 7x 11

538:2x 269

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 5x 5x 13x 13 = 16900

Therefore, the value for common factors is 16900.

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 = 31945535622000/(1x16900)

LCM = 31945535622000/16900

LCM = 1890268380

Thus, we can understand that the LCM of 845,169,770,538,540 is 1890268380.

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

• LCM of 272, 423, 242, 495, 972
• LCM of 736, 905, 754, 762, 468
• LCM of 352, 281, 771, 821, 675
• LCM of 886, 225, 451, 690, 240
• LCM of 144, 697, 380, 569, 520

1. What is the LCM of 845, 169, 770, 538, 540?

Answer: LCM of 845, 169, 770, 538, 540 is 1890268380.

2. How to calculate the LCM of 845, 169, 770, 538, 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 845, 169, 770, 538, 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}.