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LCM of 115, 512, 820, 665, 824

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


Find the LCM of 115, 512, 820, 665, 824 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 115, 512, 820, 665, 824. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 115,512,820,665,824

Given numbers are 115,512,820,665,824

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

The LCM of 115,512,820,665,824 is 33070481920.

Find LCM of 115,512,820,665,824 with Prime Factorization


2 115, 512, 820, 665, 824
2 115, 256, 410, 665, 412
2 115, 128, 205, 665, 206
5 115, 64, 205, 665, 103
23, 64, 41, 133, 103

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

2 x 2 x 2 x 5 x 23 x 64 x 41 x 133 x 103 = 33070481920

Therefore, the lowest common multiple of 115,512,820,665,824 is 33070481920.

LCM Formula to Find Lowest Common Multiple of 115,512,820,665,824

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.

115 x 512 x 820 x 665 x 824 = 26456385536000

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.

115 : 1, 5, 23, 115

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

665 : 1, 5, 7, 19, 35, 95, 133, 665

824 : 1, 2, 4, 8, 103, 206, 412, 824

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 115,512,820,665,824, is 1.

Now, the common factors can be found like this.

115:5x 23

512:2x 2x 2x 2x 2x 2x 2x 2x 2

820:2x 2x 5x 41

665:5x 7x 19

824:2x 2x 2x 103

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 2x 2x 5x 5 = 800

Therefore, the value for common factors is 800.

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 = 26456385536000/(1x800)

LCM = 26456385536000/800

LCM = 33070481920

Thus, we can understand that the LCM of 115,512,820,665,824 is 33070481920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 115, 512, 820, 665, 824

1. What is the LCM of 115, 512, 820, 665, 824?

Answer: LCM of 115, 512, 820, 665, 824 is 33070481920.

2. How to calculate the LCM of 115, 512, 820, 665, 824?

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 115, 512, 820, 665, 824.

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}.