Given numbers are 114,338,348,989

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

The LCM of 114,338,348,989 is 1105136292.

Find LCM of 114,338,348,989 with Prime Factorization

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

2 x 3 x 19 x 169 x 58 x 989 = 1105136292

Therefore, the lowest common multiple of 114,338,348,989 is 1105136292.

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.

114 x 338 x 348 x 989 = 13261635504

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.

114 : 1, 2, 3, 6, 19, 38, 57, 114

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

989 : 1, 23, 43, 989

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,338,348,989, is 1.

Now, the common factors can be found like this.

114:2x 3x 19

338:2x 13x 13

348:2x 2x 3x 29

989:23x 43

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 3 = 12

Therefore, the value for common factors is 12.

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 = 13261635504/(1x12)

LCM = 13261635504/12

LCM = 1105136292

Thus, we can understand that the LCM of 114,338,348,989 is 1105136292.

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

• LCM of 714, 566, 381, 217
• LCM of 919, 114, 683, 441
• LCM of 528, 937, 624, 123
• LCM of 336, 352, 398, 162
• LCM of 160, 792, 216, 529

1. What is the LCM of 114, 338, 348, 989?

Answer: LCM of 114, 338, 348, 989 is 1105136292.

2. How to calculate the LCM of 114, 338, 348, 989?

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 114, 338, 348, 989.

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}.