Given numbers are 785,660,921,755,405

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

The LCM of 785,660,921,755,405 is 129694833180.

Find LCM of 785,660,921,755,405 with Prime Factorization

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

3 x 5 x 157 x 44 x 307 x 151 x 27 = 129694833180

Therefore, the lowest common multiple of 785,660,921,755,405 is 129694833180.

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.

785 x 660 x 921 x 755 x 405 = 145906687327500

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.

785 : 1, 5, 157, 785

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

921 : 1, 3, 307, 921

755 : 1, 5, 151, 755

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,660,921,755,405, is 1.

Now, the common factors can be found like this.

785:5x 157

660:2x 2x 3x 5x 11

921:3x 307

755:5x 151

405:3x 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.

3x 3x 5x 5x 5 = 1125

Therefore, the value for common factors is 1125.

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 = 145906687327500/(1x1125)

LCM = 145906687327500/1125

LCM = 129694833180

Thus, we can understand that the LCM of 785,660,921,755,405 is 129694833180.

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

• LCM of 323, 625, 806, 810, 811
• LCM of 698, 954, 749, 289, 868
• LCM of 345, 461, 845, 962, 122
• LCM of 469, 543, 542, 753, 786
• LCM of 373, 363, 921, 353, 954

1. What is the LCM of 785, 660, 921, 755, 405?

Answer: LCM of 785, 660, 921, 755, 405 is 129694833180.

2. How to calculate the LCM of 785, 660, 921, 755, 405?

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 785, 660, 921, 755, 405.

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}.