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LCM of 241, 768, 315, 363, 438

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


Find the LCM of 241, 768, 315, 363, 438 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 241, 768, 315, 363, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 241,768,315,363,438

Given numbers are 241,768,315,363,438

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

The LCM of 241,768,315,363,438 is 171662641920.

Find LCM of 241,768,315,363,438 with Prime Factorization


2 241, 768, 315, 363, 438
3 241, 384, 315, 363, 219
241, 128, 105, 121, 73

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

2 x 3 x 241 x 128 x 105 x 121 x 73 = 171662641920

Therefore, the lowest common multiple of 241,768,315,363,438 is 171662641920.

LCM Formula to Find Lowest Common Multiple of 241,768,315,363,438

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.

241 x 768 x 315 x 363 x 438 = 9269782663680

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.

241 : 1, 241

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

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

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 241,768,315,363,438, is 1.

Now, the common factors can be found like this.

241:241

768:2x 2x 2x 2x 2x 2x 2x 2x 3

315:3x 3x 5x 7

363:3x 11x 11

438:2x 3x 73

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

2x 3x 3x 3 = 54

Therefore, the value for common factors is 54.

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 = 9269782663680/(1x54)

LCM = 9269782663680/54

LCM = 171662641920

Thus, we can understand that the LCM of 241,768,315,363,438 is 171662641920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 241, 768, 315, 363, 438

1. What is the LCM of 241, 768, 315, 363, 438?

Answer: LCM of 241, 768, 315, 363, 438 is 171662641920.

2. How to calculate the LCM of 241, 768, 315, 363, 438?

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 241, 768, 315, 363, 438.

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}.