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LCM of 117, 320, 673, 819, 895

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


Find the LCM of 117, 320, 673, 819, 895 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 117, 320, 673, 819, 895. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 117,320,673,819,895

Given numbers are 117,320,673,819,895

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

The LCM of 117,320,673,819,895 is 31571991360.

Find LCM of 117,320,673,819,895 with Prime Factorization


3 117, 320, 673, 819, 895
3 39, 320, 673, 273, 895
5 13, 320, 673, 91, 895
13 13, 64, 673, 91, 179
1, 64, 673, 7, 179

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

3 x 3 x 5 x 13 x 1 x 64 x 673 x 7 x 179 = 31571991360

Therefore, the lowest common multiple of 117,320,673,819,895 is 31571991360.

LCM Formula to Find Lowest Common Multiple of 117,320,673,819,895

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.

117 x 320 x 673 x 819 x 895 = 18469614945600

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.

117 : 1, 3, 9, 13, 39, 117

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

673 : 1, 673

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

895 : 1, 5, 179, 895

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,320,673,819,895, is 1.

Now, the common factors can be found like this.

117:3x 3x 13

320:2x 2x 2x 2x 2x 2x 5

673:673

819:3x 3x 7x 13

895:5x 179

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 5x 13 = 585

Therefore, the value for common factors is 585.

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 = 18469614945600/(1x585)

LCM = 18469614945600/585

LCM = 31571991360

Thus, we can understand that the LCM of 117,320,673,819,895 is 31571991360.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 117, 320, 673, 819, 895

1. What is the LCM of 117, 320, 673, 819, 895?

Answer: LCM of 117, 320, 673, 819, 895 is 31571991360.

2. How to calculate the LCM of 117, 320, 673, 819, 895?

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 117, 320, 673, 819, 895.

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}.