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LCM of 188, 847, 704, 522

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


Find the LCM of 188, 847, 704, 522 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 188, 847, 704, 522. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 188,847,704,522

Given numbers are 188,847,704,522

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

The LCM of 188,847,704,522 is 664969536.

Find LCM of 188,847,704,522 with Prime Factorization


2 188, 847, 704, 522
2 94, 847, 352, 261
11 47, 847, 176, 261
47, 77, 16, 261

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

2 x 2 x 11 x 47 x 77 x 16 x 261 = 664969536

Therefore, the lowest common multiple of 188,847,704,522 is 664969536.

LCM Formula to Find Lowest Common Multiple of 188,847,704,522

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.

188 x 847 x 704 x 522 = 58517319168

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.

188 : 1, 2, 4, 47, 94, 188

847 : 1, 7, 11, 77, 121, 847

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,847,704,522, is 1.

Now, the common factors can be found like this.

188:2x 2x 47

847:7x 11x 11

704:2x 2x 2x 2x 2x 2x 11

522:2x 3x 3x 29

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 11 = 88

Therefore, the value for common factors is 88.

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 = 58517319168/(1x88)

LCM = 58517319168/88

LCM = 664969536

Thus, we can understand that the LCM of 188,847,704,522 is 664969536.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 188, 847, 704, 522

1. What is the LCM of 188, 847, 704, 522?

Answer: LCM of 188, 847, 704, 522 is 664969536.

2. How to calculate the LCM of 188, 847, 704, 522?

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 188, 847, 704, 522.

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}.