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LCM of 468, 324, 180, 506

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


Find the LCM of 468, 324, 180, 506 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 468, 324, 180, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,324,180,506

Given numbers are 468,324,180,506

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

The LCM of 468,324,180,506 is 5328180.

Find LCM of 468,324,180,506 with Prime Factorization


2 468, 324, 180, 506
2 234, 162, 90, 253
3 117, 81, 45, 253
3 39, 27, 15, 253
13, 9, 5, 253

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

2 x 2 x 3 x 3 x 13 x 9 x 5 x 253 = 5328180

Therefore, the lowest common multiple of 468,324,180,506 is 5328180.

LCM Formula to Find Lowest Common Multiple of 468,324,180,506

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.

468 x 324 x 180 x 506 = 13810642560

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.

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

506 : 1, 2, 11, 22, 23, 46, 253, 506

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,324,180,506, is 2.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

324:2x 2x 3x 3x 3x 3

180:2x 2x 3x 3x 5

506:2x 11x 23

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 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 13810642560/(2x1296)

LCM = 13810642560/2592

LCM = 5328180

Thus, we can understand that the LCM of 468,324,180,506 is 5328180.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 468, 324, 180, 506

1. What is the LCM of 468, 324, 180, 506?

Answer: LCM of 468, 324, 180, 506 is 5328180.

2. How to calculate the LCM of 468, 324, 180, 506?

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 468, 324, 180, 506.

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}.