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LCM of 590, 495, 764, 770, 230

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


Find the LCM of 590, 495, 764, 770, 230 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 590, 495, 764, 770, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 590,495,764,770,230

Given numbers are 590,495,764,770,230

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

The LCM of 590,495,764,770,230 is 3592331820.

Find LCM of 590,495,764,770,230 with Prime Factorization


2 590, 495, 764, 770, 230
5 295, 495, 382, 385, 115
11 59, 99, 382, 77, 23
59, 9, 382, 7, 23

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

2 x 5 x 11 x 59 x 9 x 382 x 7 x 23 = 3592331820

Therefore, the lowest common multiple of 590,495,764,770,230 is 3592331820.

LCM Formula to Find Lowest Common Multiple of 590,495,764,770,230

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.

590 x 495 x 764 x 770 x 230 = 39515650020000

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.

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

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

764 : 1, 2, 4, 191, 382, 764

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 590,495,764,770,230, is 1.

Now, the common factors can be found like this.

590:2x 5x 59

495:3x 3x 5x 11

764:2x 2x 191

770:2x 5x 7x 11

230:2x 5x 23

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 5x 11 = 11000

Therefore, the value for common factors is 11000.

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 = 39515650020000/(1x11000)

LCM = 39515650020000/11000

LCM = 3592331820

Thus, we can understand that the LCM of 590,495,764,770,230 is 3592331820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 590, 495, 764, 770, 230

1. What is the LCM of 590, 495, 764, 770, 230?

Answer: LCM of 590, 495, 764, 770, 230 is 3592331820.

2. How to calculate the LCM of 590, 495, 764, 770, 230?

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 590, 495, 764, 770, 230.

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}.