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LCM of 341, 633, 363, 565, 572

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


Find the LCM of 341, 633, 363, 565, 572 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 341, 633, 363, 565, 572. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,633,363,565,572

Given numbers are 341,633,363,565,572

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

The LCM of 341,633,363,565,572 is 69759372540.

Find LCM of 341,633,363,565,572 with Prime Factorization


3 341, 633, 363, 565, 572
11 341, 211, 121, 565, 572
31, 211, 11, 565, 52

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

3 x 11 x 31 x 211 x 11 x 565 x 52 = 69759372540

Therefore, the lowest common multiple of 341,633,363,565,572 is 69759372540.

LCM Formula to Find Lowest Common Multiple of 341,633,363,565,572

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.

341 x 633 x 363 x 565 x 572 = 25322652232020

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.

341 : 1, 11, 31, 341

633 : 1, 3, 211, 633

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

565 : 1, 5, 113, 565

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,633,363,565,572, is 1.

Now, the common factors can be found like this.

341:11x 31

633:3x 211

363:3x 11x 11

565:5x 113

572:2x 2x 11x 13

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 11x 11 = 363

Therefore, the value for common factors is 363.

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 = 25322652232020/(1x363)

LCM = 25322652232020/363

LCM = 69759372540

Thus, we can understand that the LCM of 341,633,363,565,572 is 69759372540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 633, 363, 565, 572

1. What is the LCM of 341, 633, 363, 565, 572?

Answer: LCM of 341, 633, 363, 565, 572 is 69759372540.

2. How to calculate the LCM of 341, 633, 363, 565, 572?

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 341, 633, 363, 565, 572.

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}.