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LCM of 488, 772, 332, 347

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


Find the LCM of 488, 772, 332, 347 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 488, 772, 332, 347. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 488,772,332,347

Given numbers are 488,772,332,347

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

The LCM of 488,772,332,347 is 2712593384.

Find LCM of 488,772,332,347 with Prime Factorization


2 488, 772, 332, 347
2 244, 386, 166, 347
122, 193, 83, 347

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

2 x 2 x 122 x 193 x 83 x 347 = 2712593384

Therefore, the lowest common multiple of 488,772,332,347 is 2712593384.

LCM Formula to Find Lowest Common Multiple of 488,772,332,347

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.

488 x 772 x 332 x 347 = 43401494144

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.

488 : 1, 2, 4, 8, 61, 122, 244, 488

772 : 1, 2, 4, 193, 386, 772

332 : 1, 2, 4, 83, 166, 332

347 : 1, 347

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,772,332,347, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

772:2x 2x 193

332:2x 2x 83

347:347

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 2 = 16

Therefore, the value for common factors is 16.

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 = 43401494144/(1x16)

LCM = 43401494144/16

LCM = 2712593384

Thus, we can understand that the LCM of 488,772,332,347 is 2712593384.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 488, 772, 332, 347

1. What is the LCM of 488, 772, 332, 347?

Answer: LCM of 488, 772, 332, 347 is 2712593384.

2. How to calculate the LCM of 488, 772, 332, 347?

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 488, 772, 332, 347.

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}.