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LCM of 562, 466, 682, 682, 342

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


Find the LCM of 562, 466, 682, 682, 342 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, 466, 682, 682, 342. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 562,466,682,682,342

Given numbers are 562,466,682,682,342

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

The LCM of 562,466,682,682,342 is 7635592206.

Find LCM of 562,466,682,682,342 with Prime Factorization


2 562, 466, 682, 682, 342
11 281, 233, 341, 341, 171
31 281, 233, 31, 31, 171
281, 233, 1, 1, 171

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

2 x 11 x 31 x 281 x 233 x 1 x 1 x 171 = 7635592206

Therefore, the lowest common multiple of 562,466,682,682,342 is 7635592206.

LCM Formula to Find Lowest Common Multiple of 562,466,682,682,342

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 466 x 682 x 682 x 342 = 41659791075936

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

466 : 1, 2, 233, 466

682 : 1, 2, 11, 22, 31, 62, 341, 682

682 : 1, 2, 11, 22, 31, 62, 341, 682

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 562,466,682,682,342, is 2.

Now, the common factors can be found like this.

562:2x 281

466:2x 233

682:2x 11x 31

682:2x 11x 31

342:2x 3x 3x 19

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 2x 11x 31 = 2728

Therefore, the value for common factors is 2728.

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 = 41659791075936/(2x2728)

LCM = 41659791075936/5456

LCM = 7635592206

Thus, we can understand that the LCM of 562,466,682,682,342 is 7635592206.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 562, 466, 682, 682, 342

1. What is the LCM of 562, 466, 682, 682, 342?

Answer: LCM of 562, 466, 682, 682, 342 is 7635592206.

2. How to calculate the LCM of 562, 466, 682, 682, 342?

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, 466, 682, 682, 342.

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}.