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LCM of 608, 775, 259, 341

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


Find the LCM of 608, 775, 259, 341 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 608, 775, 259, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 608,775,259,341

Given numbers are 608,775,259,341

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

The LCM of 608,775,259,341 is 1342448800.

Find LCM of 608,775,259,341 with Prime Factorization


31 608, 775, 259, 341
608, 25, 259, 11

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

31 x 608 x 25 x 259 x 11 = 1342448800

Therefore, the lowest common multiple of 608,775,259,341 is 1342448800.

LCM Formula to Find Lowest Common Multiple of 608,775,259,341

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.

608 x 775 x 259 x 341 = 41615912800

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.

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

775 : 1, 5, 25, 31, 155, 775

259 : 1, 7, 37, 259

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 608,775,259,341, is 1.

Now, the common factors can be found like this.

608:2x 2x 2x 2x 2x 19

775:5x 5x 31

259:7x 37

341:11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

31 = 31

Therefore, the value for common factors is 31.

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 = 41615912800/(1x31)

LCM = 41615912800/31

LCM = 1342448800

Thus, we can understand that the LCM of 608,775,259,341 is 1342448800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 608, 775, 259, 341

1. What is the LCM of 608, 775, 259, 341?

Answer: LCM of 608, 775, 259, 341 is 1342448800.

2. How to calculate the LCM of 608, 775, 259, 341?

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 608, 775, 259, 341.

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}.