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LCM of 323, 332, 312, 620

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


Find the LCM of 323, 332, 312, 620 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 323, 332, 312, 620. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 323,332,312,620

Given numbers are 323,332,312,620

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

The LCM of 323,332,312,620 is 1296483240.

Find LCM of 323,332,312,620 with Prime Factorization


2 323, 332, 312, 620
2 323, 166, 156, 310
323, 83, 78, 155

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

2 x 2 x 323 x 83 x 78 x 155 = 1296483240

Therefore, the lowest common multiple of 323,332,312,620 is 1296483240.

LCM Formula to Find Lowest Common Multiple of 323,332,312,620

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.

323 x 332 x 312 x 620 = 20743731840

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.

323 : 1, 17, 19, 323

332 : 1, 2, 4, 83, 166, 332

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,332,312,620, is 1.

Now, the common factors can be found like this.

323:17x 19

332:2x 2x 83

312:2x 2x 2x 3x 13

620:2x 2x 5x 31

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 2 = 16

Therefore, the value for common factors is 16.

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 = 20743731840/(1x16)

LCM = 20743731840/16

LCM = 1296483240

Thus, we can understand that the LCM of 323,332,312,620 is 1296483240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 323, 332, 312, 620

1. What is the LCM of 323, 332, 312, 620?

Answer: LCM of 323, 332, 312, 620 is 1296483240.

2. How to calculate the LCM of 323, 332, 312, 620?

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 323, 332, 312, 620.

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}.