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LCM of 788, 590, 450, 223, 590

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


Find the LCM of 788, 590, 450, 223, 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 788, 590, 450, 223, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 788,590,450,223,590

Given numbers are 788,590,450,223,590

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

The LCM of 788,590,450,223,590 is 2332736100.

Find LCM of 788,590,450,223,590 with Prime Factorization


2 788, 590, 450, 223, 590
5 394, 295, 225, 223, 295
59 394, 59, 45, 223, 59
394, 1, 45, 223, 1

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

2 x 5 x 59 x 394 x 1 x 45 x 223 x 1 = 2332736100

Therefore, the lowest common multiple of 788,590,450,223,590 is 2332736100.

LCM Formula to Find Lowest Common Multiple of 788,590,450,223,590

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.

788 x 590 x 450 x 223 x 590 = 27526285980000

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.

788 : 1, 2, 4, 197, 394, 788

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

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

223 : 1, 223

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 788,590,450,223,590, is 1.

Now, the common factors can be found like this.

788:2x 2x 197

590:2x 5x 59

450:2x 3x 3x 5x 5

223:223

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 5x 5x 59 = 11800

Therefore, the value for common factors is 11800.

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 = 27526285980000/(1x11800)

LCM = 27526285980000/11800

LCM = 2332736100

Thus, we can understand that the LCM of 788,590,450,223,590 is 2332736100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 788, 590, 450, 223, 590

1. What is the LCM of 788, 590, 450, 223, 590?

Answer: LCM of 788, 590, 450, 223, 590 is 2332736100.

2. How to calculate the LCM of 788, 590, 450, 223, 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 788, 590, 450, 223, 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}.