Given numbers are 138,993,606,214

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

The LCM of 138,993,606,214 is 493642146.

Find LCM of 138,993,606,214 with Prime Factorization

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

2 x 3 x 23 x 331 x 101 x 107 = 493642146

Therefore, the lowest common multiple of 138,993,606,214 is 493642146.

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 993 x 606 x 214 = 17771117256

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

993 : 1, 3, 331, 993

606 : 1, 2, 3, 6, 101, 202, 303, 606

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,993,606,214, is 1.

Now, the common factors can be found like this.

138:2x 3x 23

993:3x 331

606:2x 3x 101

214:2x 107

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 17771117256/(1x36)

LCM = 17771117256/36

LCM = 493642146

Thus, we can understand that the LCM of 138,993,606,214 is 493642146.

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

• LCM of 250, 587, 556, 262
• LCM of 371, 924, 751, 337
• LCM of 528, 699, 988, 612
• LCM of 843, 449, 851, 948
• LCM of 409, 486, 811, 611

1. What is the LCM of 138, 993, 606, 214?

Answer: LCM of 138, 993, 606, 214 is 493642146.

2. How to calculate the LCM of 138, 993, 606, 214?

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, 993, 606, 214.

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}.