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LCM of 179, 104, 824, 400

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


Find the LCM of 179, 104, 824, 400 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 179, 104, 824, 400. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 179,104,824,400

Given numbers are 179,104,824,400

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

The LCM of 179,104,824,400 is 95872400.

Find LCM of 179,104,824,400 with Prime Factorization


2 179, 104, 824, 400
2 179, 52, 412, 200
2 179, 26, 206, 100
179, 13, 103, 50

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

2 x 2 x 2 x 179 x 13 x 103 x 50 = 95872400

Therefore, the lowest common multiple of 179,104,824,400 is 95872400.

LCM Formula to Find Lowest Common Multiple of 179,104,824,400

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.

179 x 104 x 824 x 400 = 6135833600

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.

179 : 1, 179

104 : 1, 2, 4, 8, 13, 26, 52, 104

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

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,104,824,400, is 1.

Now, the common factors can be found like this.

179:179

104:2x 2x 2x 13

824:2x 2x 2x 103

400:2x 2x 2x 2x 5x 5

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 2 = 64

Therefore, the value for common factors is 64.

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 = 6135833600/(1x64)

LCM = 6135833600/64

LCM = 95872400

Thus, we can understand that the LCM of 179,104,824,400 is 95872400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 179, 104, 824, 400

1. What is the LCM of 179, 104, 824, 400?

Answer: LCM of 179, 104, 824, 400 is 95872400.

2. How to calculate the LCM of 179, 104, 824, 400?

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 179, 104, 824, 400.

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}.