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LCM of 322, 187, 308, 828

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


Find the LCM of 322, 187, 308, 828 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 322, 187, 308, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 322,187,308,828

Given numbers are 322,187,308,828

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

The LCM of 322,187,308,828 is 1083852.

Find LCM of 322,187,308,828 with Prime Factorization


2 322, 187, 308, 828
2 161, 187, 154, 414
7 161, 187, 77, 207
11 23, 187, 11, 207
23 23, 17, 1, 207
1, 17, 1, 9

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

2 x 2 x 7 x 11 x 23 x 1 x 17 x 1 x 9 = 1083852

Therefore, the lowest common multiple of 322,187,308,828 is 1083852.

LCM Formula to Find Lowest Common Multiple of 322,187,308,828

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.

322 x 187 x 308 x 828 = 15356015136

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.

322 : 1, 2, 7, 14, 23, 46, 161, 322

187 : 1, 11, 17, 187

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,187,308,828, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

187:11x 17

308:2x 2x 7x 11

828:2x 2x 3x 3x 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 7x 11x 23 = 14168

Therefore, the value for common factors is 14168.

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 = 15356015136/(1x14168)

LCM = 15356015136/14168

LCM = 1083852

Thus, we can understand that the LCM of 322,187,308,828 is 1083852.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 322, 187, 308, 828

1. What is the LCM of 322, 187, 308, 828?

Answer: LCM of 322, 187, 308, 828 is 1083852.

2. How to calculate the LCM of 322, 187, 308, 828?

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 322, 187, 308, 828.

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}.