Given numbers are 78,54,69,411

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

The LCM of 78,54,69,411 is 2212002.

Find LCM of 78,54,69,411 with Prime Factorization

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

2 x 3 x 13 x 9 x 23 x 137 = 2212002

Therefore, the lowest common multiple of 78,54,69,411 is 2212002.

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.

78 x 54 x 69 x 411 = 119448108

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.

78 : 1, 2, 3, 6, 13, 26, 39, 78

54 : 1, 2, 3, 6, 9, 18, 27, 54

69 : 1, 3, 23, 69

411 : 1, 3, 137, 411

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 78,54,69,411, is 3.

Now, the common factors can be found like this.

78:2x 3x 13

54:2x 3x 3x 3

69:3x 23

411:3x 137

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 119448108/(3x18)

LCM = 119448108/54

LCM = 2212002

Thus, we can understand that the LCM of 78,54,69,411 is 2212002.

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

• LCM of 41, 81, 59, 295
• LCM of 35, 73, 23, 847
• LCM of 13, 45, 22, 711
• LCM of 22, 50, 80, 243
• LCM of 74, 64, 96, 804

1. What is the LCM of 78, 54, 69, 411?

Answer: LCM of 78, 54, 69, 411 is 2212002.

2. How to calculate the LCM of 78, 54, 69, 411?

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 78, 54, 69, 411.

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}.