Given numbers are 870,845,865,740,305

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

The LCM of 870,845,865,740,305 is 114818961660.

Find LCM of 870,845,865,740,305 with Prime Factorization

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

2 x 5 x 87 x 169 x 173 x 74 x 61 = 114818961660

Therefore, the lowest common multiple of 870,845,865,740,305 is 114818961660.

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.

870 x 845 x 865 x 740 x 305 = 143523702075000

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.

870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

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

865 : 1, 5, 173, 865

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

305 : 1, 5, 61, 305

5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 870,845,865,740,305, is 5.

Now, the common factors can be found like this.

870:2x 3x 5x 29

845:5x 13x 13

865:5x 173

740:2x 2x 5x 37

305:5x 61

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 5x 5x 5 = 250

Therefore, the value for common factors is 250.

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 = 143523702075000/(5x250)

LCM = 143523702075000/1250

LCM = 114818961660

Thus, we can understand that the LCM of 870,845,865,740,305 is 114818961660.

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

• LCM of 502, 305, 986, 736, 666
• LCM of 314, 843, 495, 600, 308
• LCM of 190, 939, 962, 143, 277
• LCM of 705, 217, 720, 413, 541
• LCM of 440, 864, 271, 862, 874

1. What is the LCM of 870, 845, 865, 740, 305?

Answer: LCM of 870, 845, 865, 740, 305 is 114818961660.

2. How to calculate the LCM of 870, 845, 865, 740, 305?

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 870, 845, 865, 740, 305.

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}.