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LCM of 723, 447, 447, 568

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


Find the LCM of 723, 447, 447, 568 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 723, 447, 447, 568. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 723,447,447,568

Given numbers are 723,447,447,568

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

The LCM of 723,447,447,568 is 61188936.

Find LCM of 723,447,447,568 with Prime Factorization


3 723, 447, 447, 568
149 241, 149, 149, 568
241, 1, 1, 568

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

3 x 149 x 241 x 1 x 1 x 568 = 61188936

Therefore, the lowest common multiple of 723,447,447,568 is 61188936.

LCM Formula to Find Lowest Common Multiple of 723,447,447,568

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.

723 x 447 x 447 x 568 = 82054363176

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.

723 : 1, 3, 241, 723

447 : 1, 3, 149, 447

447 : 1, 3, 149, 447

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 723,447,447,568, is 1.

Now, the common factors can be found like this.

723:3x 241

447:3x 149

447:3x 149

568:2x 2x 2x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 149 = 1341

Therefore, the value for common factors is 1341.

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 = 82054363176/(1x1341)

LCM = 82054363176/1341

LCM = 61188936

Thus, we can understand that the LCM of 723,447,447,568 is 61188936.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 723, 447, 447, 568

1. What is the LCM of 723, 447, 447, 568?

Answer: LCM of 723, 447, 447, 568 is 61188936.

2. How to calculate the LCM of 723, 447, 447, 568?

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 723, 447, 447, 568.

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}.