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LCM of 589, 728, 554, 988, 567

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


Find the LCM of 589, 728, 554, 988, 567 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 589, 728, 554, 988, 567. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,728,554,988,567

Given numbers are 589,728,554,988,567

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

The LCM of 589,728,554,988,567 is 9620806104.

Find LCM of 589,728,554,988,567 with Prime Factorization


2 589, 728, 554, 988, 567
2 589, 364, 277, 494, 567
7 589, 182, 277, 247, 567
13 589, 26, 277, 247, 81
19 589, 2, 277, 19, 81
31, 2, 277, 1, 81

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

2 x 2 x 7 x 13 x 19 x 31 x 2 x 277 x 1 x 81 = 9620806104

Therefore, the lowest common multiple of 589,728,554,988,567 is 9620806104.

LCM Formula to Find Lowest Common Multiple of 589,728,554,988,567

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.

589 x 728 x 554 x 988 x 567 = 133074990030528

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.

589 : 1, 19, 31, 589

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

554 : 1, 2, 277, 554

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,728,554,988,567, is 1.

Now, the common factors can be found like this.

589:19x 31

728:2x 2x 2x 7x 13

554:2x 277

988:2x 2x 13x 19

567:3x 3x 3x 3x 7

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 7x 13x 19 = 13832

Therefore, the value for common factors is 13832.

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 = 133074990030528/(1x13832)

LCM = 133074990030528/13832

LCM = 9620806104

Thus, we can understand that the LCM of 589,728,554,988,567 is 9620806104.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 728, 554, 988, 567

1. What is the LCM of 589, 728, 554, 988, 567?

Answer: LCM of 589, 728, 554, 988, 567 is 9620806104.

2. How to calculate the LCM of 589, 728, 554, 988, 567?

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 589, 728, 554, 988, 567.

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}.