Given numbers are 138,849,408,984

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

The LCM of 138,849,408,984 is 108882552.

Find LCM of 138,849,408,984 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 283 x 17 x 41 = 108882552

Therefore, the lowest common multiple of 138,849,408,984 is 108882552.

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.

138 x 849 x 408 x 984 = 47037262464

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.

138 : 1, 2, 3, 6, 23, 46, 69, 138

849 : 1, 3, 283, 849

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,849,408,984, is 3.

Now, the common factors can be found like this.

138:2x 3x 23

849:3x 283

408:2x 2x 2x 3x 17

984:2x 2x 2x 3x 41

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 47037262464/(3x144)

LCM = 47037262464/432

LCM = 108882552

Thus, we can understand that the LCM of 138,849,408,984 is 108882552.

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

• LCM of 267, 876, 276, 872
• LCM of 169, 908, 719, 238
• LCM of 577, 740, 873, 851
• LCM of 468, 469, 546, 644
• LCM of 293, 332, 336, 244

1. What is the LCM of 138, 849, 408, 984?

Answer: LCM of 138, 849, 408, 984 is 108882552.

2. How to calculate the LCM of 138, 849, 408, 984?

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 138, 849, 408, 984.

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}.