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LCM of 568, 483, 414, 738

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


Find the LCM of 568, 483, 414, 738 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 568, 483, 414, 738. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 568,483,414,738

Given numbers are 568,483,414,738

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

The LCM of 568,483,414,738 is 33744312.

Find LCM of 568,483,414,738 with Prime Factorization


2 568, 483, 414, 738
3 284, 483, 207, 369
3 284, 161, 69, 123
23 284, 161, 23, 41
284, 7, 1, 41

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

2 x 3 x 3 x 23 x 284 x 7 x 1 x 41 = 33744312

Therefore, the lowest common multiple of 568,483,414,738 is 33744312.

LCM Formula to Find Lowest Common Multiple of 568,483,414,738

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.

568 x 483 x 414 x 738 = 83820871008

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.

568 : 1, 2, 4, 8, 71, 142, 284, 568

483 : 1, 3, 7, 21, 23, 69, 161, 483

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,483,414,738, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

483:3x 7x 23

414:2x 3x 3x 23

738:2x 3x 3x 41

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 3x 3x 23 = 2484

Therefore, the value for common factors is 2484.

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 = 83820871008/(1x2484)

LCM = 83820871008/2484

LCM = 33744312

Thus, we can understand that the LCM of 568,483,414,738 is 33744312.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 568, 483, 414, 738

1. What is the LCM of 568, 483, 414, 738?

Answer: LCM of 568, 483, 414, 738 is 33744312.

2. How to calculate the LCM of 568, 483, 414, 738?

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 568, 483, 414, 738.

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}.