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LCM of 361, 488, 687, 285, 505

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


Find the LCM of 361, 488, 687, 285, 505 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 361, 488, 687, 285, 505. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 361,488,687,285,505

Given numbers are 361,488,687,285,505

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

The LCM of 361,488,687,285,505 is 61118845080.

Find LCM of 361,488,687,285,505 with Prime Factorization


3 361, 488, 687, 285, 505
5 361, 488, 229, 95, 505
19 361, 488, 229, 19, 101
1, 488, 229, 19, 101

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

3 x 5 x 19 x 1 x 488 x 229 x 19 x 101 = 61118845080

Therefore, the lowest common multiple of 361,488,687,285,505 is 61118845080.

LCM Formula to Find Lowest Common Multiple of 361,488,687,285,505

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.

361 x 488 x 687 x 285 x 505 = 17418870847800

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.

361 : 1, 19, 361

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

687 : 1, 3, 229, 687

285 : 1, 3, 5, 15, 19, 57, 95, 285

505 : 1, 5, 101, 505

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,488,687,285,505, is 1.

Now, the common factors can be found like this.

361:19x 19

488:2x 2x 2x 61

687:3x 229

285:3x 5x 19

505:5x 101

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

3x 5x 19 = 285

Therefore, the value for common factors is 285.

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 = 17418870847800/(1x285)

LCM = 17418870847800/285

LCM = 61118845080

Thus, we can understand that the LCM of 361,488,687,285,505 is 61118845080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 361, 488, 687, 285, 505

1. What is the LCM of 361, 488, 687, 285, 505?

Answer: LCM of 361, 488, 687, 285, 505 is 61118845080.

2. How to calculate the LCM of 361, 488, 687, 285, 505?

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 361, 488, 687, 285, 505.

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}.