LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 342, 589, 562, 363, 400

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


Find the LCM of 342, 589, 562, 363, 400 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 342, 589, 562, 363, 400. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 342,589,562,363,400

Given numbers are 342,589,562,363,400

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

The LCM of 342,589,562,363,400 is 72095720400.

Find LCM of 342,589,562,363,400 with Prime Factorization


2 342, 589, 562, 363, 400
3 171, 589, 281, 363, 200
19 57, 589, 281, 121, 200
3, 31, 281, 121, 200

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

2 x 3 x 19 x 3 x 31 x 281 x 121 x 200 = 72095720400

Therefore, the lowest common multiple of 342,589,562,363,400 is 72095720400.

LCM Formula to Find Lowest Common Multiple of 342,589,562,363,400

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.

342 x 589 x 562 x 363 x 400 = 16437824251200

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.

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

589 : 1, 19, 31, 589

562 : 1, 2, 281, 562

363 : 1, 3, 11, 33, 121, 363

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 342,589,562,363,400, is 1.

Now, the common factors can be found like this.

342:2x 3x 3x 19

589:19x 31

562:2x 281

363:3x 11x 11

400:2x 2x 2x 2x 5x 5

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 3x 19 = 228

Therefore, the value for common factors is 228.

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 = 16437824251200/(1x228)

LCM = 16437824251200/228

LCM = 72095720400

Thus, we can understand that the LCM of 342,589,562,363,400 is 72095720400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 342, 589, 562, 363, 400

1. What is the LCM of 342, 589, 562, 363, 400?

Answer: LCM of 342, 589, 562, 363, 400 is 72095720400.

2. How to calculate the LCM of 342, 589, 562, 363, 400?

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 342, 589, 562, 363, 400.

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}.