Given numbers are 986,790,128,167,304

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

The LCM of 986,790,128,167,304 is 79090451840.

Find LCM of 986,790,128,167,304 with Prime Factorization

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

2 x 2 x 2 x 2 x 493 x 395 x 8 x 167 x 19 = 79090451840

Therefore, the lowest common multiple of 986,790,128,167,304 is 79090451840.

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.

986 x 790 x 128 x 167 x 304 = 5061788917760

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.

986 : 1, 2, 17, 29, 34, 58, 493, 986

790 : 1, 2, 5, 10, 79, 158, 395, 790

128 : 1, 2, 4, 8, 16, 32, 64, 128

167 : 1, 167

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,790,128,167,304, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

790:2x 5x 79

128:2x 2x 2x 2x 2x 2x 2

167:167

304:2x 2x 2x 2x 19

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 2 = 64

Therefore, the value for common factors is 64.

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 = 5061788917760/(1x64)

LCM = 5061788917760/64

LCM = 79090451840

Thus, we can understand that the LCM of 986,790,128,167,304 is 79090451840.

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

• LCM of 798, 349, 920, 178, 388
• LCM of 489, 743, 220, 727, 230
• LCM of 254, 379, 350, 164, 821
• LCM of 982, 686, 105, 548, 273
• LCM of 645, 648, 451, 302, 299

1. What is the LCM of 986, 790, 128, 167, 304?

Answer: LCM of 986, 790, 128, 167, 304 is 79090451840.

2. How to calculate the LCM of 986, 790, 128, 167, 304?

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 986, 790, 128, 167, 304.

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}.