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LCM of 518, 422, 541, 222, 652

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


Find the LCM of 518, 422, 541, 222, 652 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 518, 422, 541, 222, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 518,422,541,222,652

Given numbers are 518,422,541,222,652

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

The LCM of 518,422,541,222,652 is 57829353204.

Find LCM of 518,422,541,222,652 with Prime Factorization


2 518, 422, 541, 222, 652
37 259, 211, 541, 111, 326
7, 211, 541, 3, 326

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

2 x 37 x 7 x 211 x 541 x 3 x 326 = 57829353204

Therefore, the lowest common multiple of 518,422,541,222,652 is 57829353204.

LCM Formula to Find Lowest Common Multiple of 518,422,541,222,652

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.

518 x 422 x 541 x 222 x 652 = 17117488548384

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.

518 : 1, 2, 7, 14, 37, 74, 259, 518

422 : 1, 2, 211, 422

541 : 1, 541

222 : 1, 2, 3, 6, 37, 74, 111, 222

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 518,422,541,222,652, is 1.

Now, the common factors can be found like this.

518:2x 7x 37

422:2x 211

541:541

222:2x 3x 37

652:2x 2x 163

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 37 = 296

Therefore, the value for common factors is 296.

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 = 17117488548384/(1x296)

LCM = 17117488548384/296

LCM = 57829353204

Thus, we can understand that the LCM of 518,422,541,222,652 is 57829353204.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 518, 422, 541, 222, 652

1. What is the LCM of 518, 422, 541, 222, 652?

Answer: LCM of 518, 422, 541, 222, 652 is 57829353204.

2. How to calculate the LCM of 518, 422, 541, 222, 652?

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 518, 422, 541, 222, 652.

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}.