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LCM of 412, 399, 326, 297

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


Find the LCM of 412, 399, 326, 297 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, 399, 326, 297. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 412,399,326,297

Given numbers are 412,399,326,297

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

The LCM of 412,399,326,297 is 2652729156.

Find LCM of 412,399,326,297 with Prime Factorization


2 412, 399, 326, 297
3 206, 399, 163, 297
206, 133, 163, 99

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

2 x 3 x 206 x 133 x 163 x 99 = 2652729156

Therefore, the lowest common multiple of 412,399,326,297 is 2652729156.

LCM Formula to Find Lowest Common Multiple of 412,399,326,297

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 399 x 326 x 297 = 15916374936

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

399 : 1, 3, 7, 19, 21, 57, 133, 399

326 : 1, 2, 163, 326

297 : 1, 3, 9, 11, 27, 33, 99, 297

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,399,326,297, is 1.

Now, the common factors can be found like this.

412:2x 2x 103

399:3x 7x 19

326:2x 163

297:3x 3x 3x 11

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 15916374936/(1x6)

LCM = 15916374936/6

LCM = 2652729156

Thus, we can understand that the LCM of 412,399,326,297 is 2652729156.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 412, 399, 326, 297

1. What is the LCM of 412, 399, 326, 297?

Answer: LCM of 412, 399, 326, 297 is 2652729156.

2. How to calculate the LCM of 412, 399, 326, 297?

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, 399, 326, 297.

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}.