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LCM of 654, 365, 245, 340, 610

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


Find the LCM of 654, 365, 245, 340, 610 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 654, 365, 245, 340, 610. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 654,365,245,340,610

Given numbers are 654,365,245,340,610

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

The LCM of 654,365,245,340,610 is 24259142460.

Find LCM of 654,365,245,340,610 with Prime Factorization


2 654, 365, 245, 340, 610
5 327, 365, 245, 170, 305
327, 73, 49, 34, 61

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

2 x 5 x 327 x 73 x 49 x 34 x 61 = 24259142460

Therefore, the lowest common multiple of 654,365,245,340,610 is 24259142460.

LCM Formula to Find Lowest Common Multiple of 654,365,245,340,610

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.

654 x 365 x 245 x 340 x 610 = 12129571230000

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.

654 : 1, 2, 3, 6, 109, 218, 327, 654

365 : 1, 5, 73, 365

245 : 1, 5, 7, 35, 49, 245

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

610 : 1, 2, 5, 10, 61, 122, 305, 610

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 654,365,245,340,610, is 1.

Now, the common factors can be found like this.

654:2x 3x 109

365:5x 73

245:5x 7x 7

340:2x 2x 5x 17

610:2x 5x 61

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 5x 5 = 500

Therefore, the value for common factors is 500.

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 = 12129571230000/(1x500)

LCM = 12129571230000/500

LCM = 24259142460

Thus, we can understand that the LCM of 654,365,245,340,610 is 24259142460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 654, 365, 245, 340, 610

1. What is the LCM of 654, 365, 245, 340, 610?

Answer: LCM of 654, 365, 245, 340, 610 is 24259142460.

2. How to calculate the LCM of 654, 365, 245, 340, 610?

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 654, 365, 245, 340, 610.

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}.