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LCM of 562, 406, 747

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


Find the LCM of 562, 406, 747 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 562, 406, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 562,406,747

Given numbers are 562,406,747

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

The LCM of 562,406,747 is 85222242.

Find LCM of 562,406,747 with Prime Factorization


2 562, 406, 747
281, 203, 747

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

2 x 281 x 203 x 747 = 85222242

Therefore, the lowest common multiple of 562,406,747 is 85222242.

LCM Formula to Find Lowest Common Multiple of 562,406,747

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.

562 x 406 x 747 = 170444484

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.

562 : 1, 2, 281, 562

406 : 1, 2, 7, 14, 29, 58, 203, 406

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,406,747, is 1.

Now, the common factors can be found like this.

562:2x 281

406:2x 7x 29

747:3x 3x 83

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 = 170444484/(1x2)

LCM = 170444484/2

LCM = 85222242

Thus, we can understand that the LCM of 562,406,747 is 85222242.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 562, 406, 747

1. What is the LCM of 562, 406, 747?

Answer: LCM of 562, 406, 747 is 85222242.

2. How to calculate the LCM of 562, 406, 747?

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 562, 406, 747.

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}.