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LCM of 412, 162, 789, 480

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 412, 162, 789, 480 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 412, 162, 789, 480. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 412,162,789,480

Given numbers are 412,162,789,480

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

The LCM of 412,162,789,480 is 351073440.

Find LCM of 412,162,789,480 with Prime Factorization


2 412, 162, 789, 480
2 206, 81, 789, 240
3 103, 81, 789, 120
103, 27, 263, 40

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

2 x 2 x 3 x 103 x 27 x 263 x 40 = 351073440

Therefore, the lowest common multiple of 412,162,789,480 is 351073440.

LCM Formula to Find Lowest Common Multiple of 412,162,789,480

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.

412 x 162 x 789 x 480 = 25277287680

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.

412 : 1, 2, 4, 103, 206, 412

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

789 : 1, 3, 263, 789

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,162,789,480, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

162:2x 3x 3x 3x 3

789:3x 263

480:2x 2x 2x 2x 2x 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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 25277287680/(1x72)

LCM = 25277287680/72

LCM = 351073440

Thus, we can understand that the LCM of 412,162,789,480 is 351073440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 412, 162, 789, 480

1. What is the LCM of 412, 162, 789, 480?

Answer: LCM of 412, 162, 789, 480 is 351073440.

2. How to calculate the LCM of 412, 162, 789, 480?

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 412, 162, 789, 480.

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}.