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LCM of 589, 468, 546, 520

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


Find the LCM of 589, 468, 546, 520 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, 468, 546, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 589,468,546,520

Given numbers are 589,468,546,520

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

The LCM of 589,468,546,520 is 19295640.

Find LCM of 589,468,546,520 with Prime Factorization


2 589, 468, 546, 520
2 589, 234, 273, 260
3 589, 117, 273, 130
13 589, 39, 91, 130
589, 3, 7, 10

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

2 x 2 x 3 x 13 x 589 x 3 x 7 x 10 = 19295640

Therefore, the lowest common multiple of 589,468,546,520 is 19295640.

LCM Formula to Find Lowest Common Multiple of 589,468,546,520

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 468 x 546 x 520 = 78263115840

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

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,468,546,520, is 1.

Now, the common factors can be found like this.

589:19x 31

468:2x 2x 3x 3x 13

546:2x 3x 7x 13

520:2x 2x 2x 5x 13

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 3x 13x 13 = 4056

Therefore, the value for common factors is 4056.

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 = 78263115840/(1x4056)

LCM = 78263115840/4056

LCM = 19295640

Thus, we can understand that the LCM of 589,468,546,520 is 19295640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 589, 468, 546, 520

1. What is the LCM of 589, 468, 546, 520?

Answer: LCM of 589, 468, 546, 520 is 19295640.

2. How to calculate the LCM of 589, 468, 546, 520?

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, 468, 546, 520.

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}.