Given numbers are 116,580,988,180,338

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

The LCM of 116,580,988,180,338 is 16761420.

Find LCM of 116,580,988,180,338 with Prime Factorization

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

2 x 2 x 5 x 13 x 29 x 1 x 1 x 19 x 9 x 13 = 16761420

Therefore, the lowest common multiple of 116,580,988,180,338 is 16761420.

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.

116 x 580 x 988 x 180 x 338 = 4044195417600

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.

116 : 1, 2, 4, 29, 58, 116

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

338 : 1, 2, 13, 26, 169, 338

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,580,988,180,338, is 2.

Now, the common factors can be found like this.

116:2x 2x 29

580:2x 2x 5x 29

988:2x 2x 13x 19

180:2x 2x 3x 3x 5

338:2x 13x 13

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 2x 5x 13x 29 = 120640

Therefore, the value for common factors is 120640.

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 = 4044195417600/(2x120640)

LCM = 4044195417600/241280

LCM = 16761420

Thus, we can understand that the LCM of 116,580,988,180,338 is 16761420.

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

• LCM of 845, 317, 179, 786, 527
• LCM of 101, 542, 327, 411, 834
• LCM of 634, 724, 462, 270, 106
• LCM of 698, 467, 783, 299, 612
• LCM of 962, 948, 839, 206, 588

1. What is the LCM of 116, 580, 988, 180, 338?

Answer: LCM of 116, 580, 988, 180, 338 is 16761420.

2. How to calculate the LCM of 116, 580, 988, 180, 338?

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 116, 580, 988, 180, 338.

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}.