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LCM of 188, 489, 802, 752, 590

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


Find the LCM of 188, 489, 802, 752, 590 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, 489, 802, 752, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 188,489,802,752,590

Given numbers are 188,489,802,752,590

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

The LCM of 188,489,802,752,590 is 43500383760.

Find LCM of 188,489,802,752,590 with Prime Factorization


2 188, 489, 802, 752, 590
2 94, 489, 401, 376, 295
47 47, 489, 401, 188, 295
1, 489, 401, 4, 295

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

2 x 2 x 47 x 1 x 489 x 401 x 4 x 295 = 43500383760

Therefore, the lowest common multiple of 188,489,802,752,590 is 43500383760.

LCM Formula to Find Lowest Common Multiple of 188,489,802,752,590

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 489 x 802 x 752 x 590 = 32712288587520

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

489 : 1, 3, 163, 489

802 : 1, 2, 401, 802

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 188,489,802,752,590, is 1.

Now, the common factors can be found like this.

188:2x 2x 47

489:3x 163

802:2x 401

752:2x 2x 2x 2x 47

590:2x 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 2x 2x 47 = 752

Therefore, the value for common factors is 752.

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 = 32712288587520/(1x752)

LCM = 32712288587520/752

LCM = 43500383760

Thus, we can understand that the LCM of 188,489,802,752,590 is 43500383760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 188, 489, 802, 752, 590

1. What is the LCM of 188, 489, 802, 752, 590?

Answer: LCM of 188, 489, 802, 752, 590 is 43500383760.

2. How to calculate the LCM of 188, 489, 802, 752, 590?

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, 489, 802, 752, 590.

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}.