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LCM of 488, 538, 707, 481, 835

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


Find the LCM of 488, 538, 707, 481, 835 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, 538, 707, 481, 835. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 488,538,707,481,835

Given numbers are 488,538,707,481,835

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

The LCM of 488,538,707,481,835 is 37275464812040.

Find LCM of 488,538,707,481,835 with Prime Factorization


2 488, 538, 707, 481, 835
244, 269, 707, 481, 835

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

2 x 244 x 269 x 707 x 481 x 835 = 37275464812040

Therefore, the lowest common multiple of 488,538,707,481,835 is 37275464812040.

LCM Formula to Find Lowest Common Multiple of 488,538,707,481,835

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 538 x 707 x 481 x 835 = 74550929624080

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

538 : 1, 2, 269, 538

707 : 1, 7, 101, 707

481 : 1, 13, 37, 481

835 : 1, 5, 167, 835

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 488,538,707,481,835, is 1.

Now, the common factors can be found like this.

488:2x 2x 2x 61

538:2x 269

707:7x 101

481:13x 37

835:5x 167

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

2 = 2

Therefore, the value for common factors is 2.

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 = 74550929624080/(1x2)

LCM = 74550929624080/2

LCM = 37275464812040

Thus, we can understand that the LCM of 488,538,707,481,835 is 37275464812040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 488, 538, 707, 481, 835

1. What is the LCM of 488, 538, 707, 481, 835?

Answer: LCM of 488, 538, 707, 481, 835 is 37275464812040.

2. How to calculate the LCM of 488, 538, 707, 481, 835?

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, 538, 707, 481, 835.

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}.