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LCM of 828, 694, 198, 592

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


Find the LCM of 828, 694, 198, 592 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 828, 694, 198, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 828,694,198,592

Given numbers are 828,694,198,592

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

The LCM of 828,694,198,592 is 467750448.

Find LCM of 828,694,198,592 with Prime Factorization


2 828, 694, 198, 592
2 414, 347, 99, 296
3 207, 347, 99, 148
3 69, 347, 33, 148
23, 347, 11, 148

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

2 x 2 x 3 x 3 x 23 x 347 x 11 x 148 = 467750448

Therefore, the lowest common multiple of 828,694,198,592 is 467750448.

LCM Formula to Find Lowest Common Multiple of 828,694,198,592

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.

828 x 694 x 198 x 592 = 67356064512

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.

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

694 : 1, 2, 347, 694

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,694,198,592, is 2.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

694:2x 347

198:2x 3x 3x 11

592:2x 2x 2x 2x 37

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 67356064512/(2x72)

LCM = 67356064512/144

LCM = 467750448

Thus, we can understand that the LCM of 828,694,198,592 is 467750448.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 828, 694, 198, 592

1. What is the LCM of 828, 694, 198, 592?

Answer: LCM of 828, 694, 198, 592 is 467750448.

2. How to calculate the LCM of 828, 694, 198, 592?

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 828, 694, 198, 592.

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}.