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LCM of 587, 425, 108, 605

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


Find the LCM of 587, 425, 108, 605 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 587, 425, 108, 605. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 587,425,108,605

Given numbers are 587,425,108,605

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

The LCM of 587,425,108,605 is 3260139300.

Find LCM of 587,425,108,605 with Prime Factorization


5 587, 425, 108, 605
587, 85, 108, 121

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

5 x 587 x 85 x 108 x 121 = 3260139300

Therefore, the lowest common multiple of 587,425,108,605 is 3260139300.

LCM Formula to Find Lowest Common Multiple of 587,425,108,605

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.

587 x 425 x 108 x 605 = 16300696500

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.

587 : 1, 587

425 : 1, 5, 17, 25, 85, 425

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

605 : 1, 5, 11, 55, 121, 605

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,425,108,605, is 1.

Now, the common factors can be found like this.

587:587

425:5x 5x 17

108:2x 2x 3x 3x 3

605:5x 11x 11

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

5 = 5

Therefore, the value for common factors is 5.

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 = 16300696500/(1x5)

LCM = 16300696500/5

LCM = 3260139300

Thus, we can understand that the LCM of 587,425,108,605 is 3260139300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 587, 425, 108, 605

1. What is the LCM of 587, 425, 108, 605?

Answer: LCM of 587, 425, 108, 605 is 3260139300.

2. How to calculate the LCM of 587, 425, 108, 605?

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 587, 425, 108, 605.

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}.