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LCM of 638, 487, 470, 381, 488

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


Find the LCM of 638, 487, 470, 381, 488 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 638, 487, 470, 381, 488. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 638,487,470,381,488

Given numbers are 638,487,470,381,488

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

The LCM of 638,487,470,381,488 is 6787851057240.

Find LCM of 638,487,470,381,488 with Prime Factorization


2 638, 487, 470, 381, 488
319, 487, 235, 381, 244

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

2 x 319 x 487 x 235 x 381 x 244 = 6787851057240

Therefore, the lowest common multiple of 638,487,470,381,488 is 6787851057240.

LCM Formula to Find Lowest Common Multiple of 638,487,470,381,488

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.

638 x 487 x 470 x 381 x 488 = 27151404228960

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

487 : 1, 487

470 : 1, 2, 5, 10, 47, 94, 235, 470

381 : 1, 3, 127, 381

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,487,470,381,488, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

487:487

470:2x 5x 47

381:3x 127

488:2x 2x 2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 27151404228960/(1x4)

LCM = 27151404228960/4

LCM = 6787851057240

Thus, we can understand that the LCM of 638,487,470,381,488 is 6787851057240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 638, 487, 470, 381, 488

1. What is the LCM of 638, 487, 470, 381, 488?

Answer: LCM of 638, 487, 470, 381, 488 is 6787851057240.

2. How to calculate the LCM of 638, 487, 470, 381, 488?

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 638, 487, 470, 381, 488.

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}.