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LCM of 610, 260, 321, 215

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


Find the LCM of 610, 260, 321, 215 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 610, 260, 321, 215. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 610,260,321,215

Given numbers are 610,260,321,215

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

The LCM of 610,260,321,215 is 218915580.

Find LCM of 610,260,321,215 with Prime Factorization


2 610, 260, 321, 215
5 305, 130, 321, 215
61, 26, 321, 43

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

2 x 5 x 61 x 26 x 321 x 43 = 218915580

Therefore, the lowest common multiple of 610,260,321,215 is 218915580.

LCM Formula to Find Lowest Common Multiple of 610,260,321,215

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.

610 x 260 x 321 x 215 = 10945779000

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.

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

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

321 : 1, 3, 107, 321

215 : 1, 5, 43, 215

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 610,260,321,215, is 1.

Now, the common factors can be found like this.

610:2x 5x 61

260:2x 2x 5x 13

321:3x 107

215:5x 43

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

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 10945779000/(1x50)

LCM = 10945779000/50

LCM = 218915580

Thus, we can understand that the LCM of 610,260,321,215 is 218915580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 610, 260, 321, 215

1. What is the LCM of 610, 260, 321, 215?

Answer: LCM of 610, 260, 321, 215 is 218915580.

2. How to calculate the LCM of 610, 260, 321, 215?

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 610, 260, 321, 215.

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}.