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LCM of 468, 349, 180, 563

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


Find the LCM of 468, 349, 180, 563 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 468, 349, 180, 563. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 468,349,180,563

Given numbers are 468,349,180,563

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

The LCM of 468,349,180,563 is 459779580.

Find LCM of 468,349,180,563 with Prime Factorization


2 468, 349, 180, 563
2 234, 349, 90, 563
3 117, 349, 45, 563
3 39, 349, 15, 563
13, 349, 5, 563

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

2 x 2 x 3 x 3 x 13 x 349 x 5 x 563 = 459779580

Therefore, the lowest common multiple of 468,349,180,563 is 459779580.

LCM Formula to Find Lowest Common Multiple of 468,349,180,563

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.

468 x 349 x 180 x 563 = 16552064880

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.

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

349 : 1, 349

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 468,349,180,563, is 1.

Now, the common factors can be found like this.

468:2x 2x 3x 3x 13

349:349

180:2x 2x 3x 3x 5

563:563

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 16552064880/(1x36)

LCM = 16552064880/36

LCM = 459779580

Thus, we can understand that the LCM of 468,349,180,563 is 459779580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 468, 349, 180, 563

1. What is the LCM of 468, 349, 180, 563?

Answer: LCM of 468, 349, 180, 563 is 459779580.

2. How to calculate the LCM of 468, 349, 180, 563?

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 468, 349, 180, 563.

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}.