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LCM of 321, 609, 108, 945

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


Find the LCM of 321, 609, 108, 945 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 321, 609, 108, 945. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 321,609,108,945

Given numbers are 321,609,108,945

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

The LCM of 321,609,108,945 is 11729340.

Find LCM of 321,609,108,945 with Prime Factorization


3 321, 609, 108, 945
3 107, 203, 36, 315
3 107, 203, 12, 105
7 107, 203, 4, 35
107, 29, 4, 5

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

3 x 3 x 3 x 7 x 107 x 29 x 4 x 5 = 11729340

Therefore, the lowest common multiple of 321,609,108,945 is 11729340.

LCM Formula to Find Lowest Common Multiple of 321,609,108,945

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.

321 x 609 x 108 x 945 = 19951607340

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.

321 : 1, 3, 107, 321

609 : 1, 3, 7, 21, 29, 87, 203, 609

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

945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,609,108,945, is 3.

Now, the common factors can be found like this.

321:3x 107

609:3x 7x 29

108:2x 2x 3x 3x 3

945:3x 3x 3x 5x 7

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

3x 3x 3x 3x 7 = 567

Therefore, the value for common factors is 567.

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 = 19951607340/(3x567)

LCM = 19951607340/1701

LCM = 11729340

Thus, we can understand that the LCM of 321,609,108,945 is 11729340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 321, 609, 108, 945

1. What is the LCM of 321, 609, 108, 945?

Answer: LCM of 321, 609, 108, 945 is 11729340.

2. How to calculate the LCM of 321, 609, 108, 945?

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 321, 609, 108, 945.

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}.