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LCM of 562, 958, 822

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


Find the LCM of 562, 958, 822 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, 958, 822. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 562,958,822

Given numbers are 562,958,822

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

The LCM of 562,958,822 is 110640378.

Find LCM of 562,958,822 with Prime Factorization


2 562, 958, 822
281, 479, 411

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

2 x 281 x 479 x 411 = 110640378

Therefore, the lowest common multiple of 562,958,822 is 110640378.

LCM Formula to Find Lowest Common Multiple of 562,958,822

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 958 x 822 = 442561512

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

958 : 1, 2, 479, 958

822 : 1, 2, 3, 6, 137, 274, 411, 822

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,958,822, is 2.

Now, the common factors can be found like this.

562:2x 281

958:2x 479

822:2x 3x 137

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 = 442561512/(2x2)

LCM = 442561512/4

LCM = 110640378

Thus, we can understand that the LCM of 562,958,822 is 110640378.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 562, 958, 822

1. What is the LCM of 562, 958, 822?

Answer: LCM of 562, 958, 822 is 110640378.

2. How to calculate the LCM of 562, 958, 822?

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, 958, 822.

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}.