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LCM of 587, 382, 722

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


Find the LCM of 587, 382, 722 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 587, 382, 722. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 587,382,722

Given numbers are 587,382,722

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

The LCM of 587,382,722 is 80948474.

Find LCM of 587,382,722 with Prime Factorization


2 587, 382, 722
587, 191, 361

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

2 x 587 x 191 x 361 = 80948474

Therefore, the lowest common multiple of 587,382,722 is 80948474.

LCM Formula to Find Lowest Common Multiple of 587,382,722

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.

587 x 382 x 722 = 161896948

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.

587 : 1, 587

382 : 1, 2, 191, 382

722 : 1, 2, 19, 38, 361, 722

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,382,722, is 1.

Now, the common factors can be found like this.

587:587

382:2x 191

722:2x 19x 19

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 = 161896948/(1x2)

LCM = 161896948/2

LCM = 80948474

Thus, we can understand that the LCM of 587,382,722 is 80948474.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 587, 382, 722

1. What is the LCM of 587, 382, 722?

Answer: LCM of 587, 382, 722 is 80948474.

2. How to calculate the LCM of 587, 382, 722?

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 587, 382, 722.

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}.