Given numbers are 138,540,408,168

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

The LCM of 138,540,408,168 is 2955960.

Find LCM of 138,540,408,168 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 45 x 17 x 7 = 2955960

Therefore, the lowest common multiple of 138,540,408,168 is 2955960.

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 540 x 408 x 168 = 5107898880

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,540,408,168, is 6.

Now, the common factors can be found like this.

138:2x 3x 23

540:2x 2x 3x 3x 3x 5

408:2x 2x 2x 3x 17

168:2x 2x 2x 3x 7

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 5107898880/(6x288)

LCM = 5107898880/1728

LCM = 2955960

Thus, we can understand that the LCM of 138,540,408,168 is 2955960.

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

• LCM of 318, 546, 944, 819
• LCM of 675, 564, 503, 138
• LCM of 906, 552, 810, 407
• LCM of 594, 115, 758, 634
• LCM of 986, 214, 727, 736

1. What is the LCM of 138, 540, 408, 168?

Answer: LCM of 138, 540, 408, 168 is 2955960.

2. How to calculate the LCM of 138, 540, 408, 168?

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, 540, 408, 168.

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}.