Given numbers are 845,214,244,908,464

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

The LCM of 845,214,244,908,464 is 580917098320.

Find LCM of 845,214,244,908,464 with Prime Factorization

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

2 x 2 x 845 x 107 x 61 x 227 x 116 = 580917098320

Therefore, the lowest common multiple of 845,214,244,908,464 is 580917098320.

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 214 x 244 x 908 x 464 = 18589347146240

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

214 : 1, 2, 107, 214

244 : 1, 2, 4, 61, 122, 244

908 : 1, 2, 4, 227, 454, 908

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,214,244,908,464, is 1.

Now, the common factors can be found like this.

845:5x 13x 13

214:2x 107

244:2x 2x 61

908:2x 2x 227

464:2x 2x 2x 2x 29

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 2 = 32

Therefore, the value for common factors is 32.

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 = 18589347146240/(1x32)

LCM = 18589347146240/32

LCM = 580917098320

Thus, we can understand that the LCM of 845,214,244,908,464 is 580917098320.

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

• LCM of 584, 637, 305, 865, 299
• LCM of 794, 631, 461, 449, 719
• LCM of 670, 898, 823, 930, 469
• LCM of 292, 563, 816, 723, 215
• LCM of 582, 462, 521, 825, 798

1. What is the LCM of 845, 214, 244, 908, 464?

Answer: LCM of 845, 214, 244, 908, 464 is 580917098320.

2. How to calculate the LCM of 845, 214, 244, 908, 464?

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, 214, 244, 908, 464.

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}.