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LCM of 578, 589, 617, 468

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


Find the LCM of 578, 589, 617, 468 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 578, 589, 617, 468. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 578,589,617,468

Given numbers are 578,589,617,468

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

The LCM of 578,589,617,468 is 49152335076.

Find LCM of 578,589,617,468 with Prime Factorization


2 578, 589, 617, 468
289, 589, 617, 234

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

2 x 289 x 589 x 617 x 234 = 49152335076

Therefore, the lowest common multiple of 578,589,617,468 is 49152335076.

LCM Formula to Find Lowest Common Multiple of 578,589,617,468

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.

578 x 589 x 617 x 468 = 98304670152

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.

578 : 1, 2, 17, 34, 289, 578

589 : 1, 19, 31, 589

617 : 1, 617

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,589,617,468, is 1.

Now, the common factors can be found like this.

578:2x 17x 17

589:19x 31

617:617

468:2x 2x 3x 3x 13

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 = 98304670152/(1x2)

LCM = 98304670152/2

LCM = 49152335076

Thus, we can understand that the LCM of 578,589,617,468 is 49152335076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 578, 589, 617, 468

1. What is the LCM of 578, 589, 617, 468?

Answer: LCM of 578, 589, 617, 468 is 49152335076.

2. How to calculate the LCM of 578, 589, 617, 468?

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 578, 589, 617, 468.

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}.