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LCM of 188, 647, 520, 905, 885

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


Find the LCM of 188, 647, 520, 905, 885 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, 647, 520, 905, 885. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 188,647,520,905,885

Given numbers are 188,647,520,905,885

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

The LCM of 188,647,520,905,885 is 506590829160.

Find LCM of 188,647,520,905,885 with Prime Factorization


2 188, 647, 520, 905, 885
2 94, 647, 260, 905, 885
5 47, 647, 130, 905, 885
47, 647, 26, 181, 177

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

2 x 2 x 5 x 47 x 647 x 26 x 181 x 177 = 506590829160

Therefore, the lowest common multiple of 188,647,520,905,885 is 506590829160.

LCM Formula to Find Lowest Common Multiple of 188,647,520,905,885

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 647 x 520 x 905 x 885 = 50659082916000

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

647 : 1, 647

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

905 : 1, 5, 181, 905

885 : 1, 3, 5, 15, 59, 177, 295, 885

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,647,520,905,885, is 1.

Now, the common factors can be found like this.

188:2x 2x 47

647:647

520:2x 2x 2x 5x 13

905:5x 181

885:3x 5x 59

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 5x 5 = 100

Therefore, the value for common factors is 100.

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 = 50659082916000/(1x100)

LCM = 50659082916000/100

LCM = 506590829160

Thus, we can understand that the LCM of 188,647,520,905,885 is 506590829160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 188, 647, 520, 905, 885

1. What is the LCM of 188, 647, 520, 905, 885?

Answer: LCM of 188, 647, 520, 905, 885 is 506590829160.

2. How to calculate the LCM of 188, 647, 520, 905, 885?

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, 647, 520, 905, 885.

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}.