Given numbers are 138,214,306,720

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

The LCM of 138,214,306,720 is 30122640.

Find LCM of 138,214,306,720 with Prime Factorization

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

2 x 3 x 3 x 23 x 107 x 17 x 40 = 30122640

Therefore, the lowest common multiple of 138,214,306,720 is 30122640.

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 214 x 306 x 720 = 6506490240

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

214 : 1, 2, 107, 214

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,214,306,720, is 2.

Now, the common factors can be found like this.

138:2x 3x 23

214:2x 107

306:2x 3x 3x 17

720:2x 2x 2x 2x 3x 3x 5

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 3x 3 = 108

Therefore, the value for common factors is 108.

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 = 6506490240/(2x108)

LCM = 6506490240/216

LCM = 30122640

Thus, we can understand that the LCM of 138,214,306,720 is 30122640.

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

• LCM of 899, 403, 862, 396
• LCM of 629, 188, 429, 590
• LCM of 198, 238, 806, 236
• LCM of 923, 368, 286, 631
• LCM of 111, 781, 525, 630

1. What is the LCM of 138, 214, 306, 720?

Answer: LCM of 138, 214, 306, 720 is 30122640.

2. How to calculate the LCM of 138, 214, 306, 720?

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, 214, 306, 720.

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}.