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LCM of 188, 780, 728, 559, 351

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


Find the LCM of 188, 780, 728, 559, 351 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, 780, 728, 559, 351. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 188,780,728,559,351

Given numbers are 188,780,728,559,351

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

The LCM of 188,780,728,559,351 is 198623880.

Find LCM of 188,780,728,559,351 with Prime Factorization


2 188, 780, 728, 559, 351
2 94, 390, 364, 559, 351
3 47, 195, 182, 559, 351
13 47, 65, 182, 559, 117
47, 5, 14, 43, 9

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

2 x 2 x 3 x 13 x 47 x 5 x 14 x 43 x 9 = 198623880

Therefore, the lowest common multiple of 188,780,728,559,351 is 198623880.

LCM Formula to Find Lowest Common Multiple of 188,780,728,559,351

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 780 x 728 x 559 x 351 = 20946079889280

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

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

559 : 1, 13, 43, 559

351 : 1, 3, 9, 13, 27, 39, 117, 351

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,780,728,559,351, is 1.

Now, the common factors can be found like this.

188:2x 2x 47

780:2x 2x 3x 5x 13

728:2x 2x 2x 7x 13

559:13x 43

351:3x 3x 3x 13

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 3x 13x 13x 13 = 105456

Therefore, the value for common factors is 105456.

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 = 20946079889280/(1x105456)

LCM = 20946079889280/105456

LCM = 198623880

Thus, we can understand that the LCM of 188,780,728,559,351 is 198623880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 188, 780, 728, 559, 351

1. What is the LCM of 188, 780, 728, 559, 351?

Answer: LCM of 188, 780, 728, 559, 351 is 198623880.

2. How to calculate the LCM of 188, 780, 728, 559, 351?

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, 780, 728, 559, 351.

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}.