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LCM of 243, 391, 609, 925, 424

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


Find the LCM of 243, 391, 609, 925, 424 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 243, 391, 609, 925, 424. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 243,391,609,925,424

Given numbers are 243,391,609,925,424

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

The LCM of 243,391,609,925,424 is 7564612015800.

Find LCM of 243,391,609,925,424 with Prime Factorization


3 243, 391, 609, 925, 424
81, 391, 203, 925, 424

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

3 x 81 x 391 x 203 x 925 x 424 = 7564612015800

Therefore, the lowest common multiple of 243,391,609,925,424 is 7564612015800.

LCM Formula to Find Lowest Common Multiple of 243,391,609,925,424

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.

243 x 391 x 609 x 925 x 424 = 22693836047400

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.

243 : 1, 3, 9, 27, 81, 243

391 : 1, 17, 23, 391

609 : 1, 3, 7, 21, 29, 87, 203, 609

925 : 1, 5, 25, 37, 185, 925

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,391,609,925,424, is 1.

Now, the common factors can be found like this.

243:3x 3x 3x 3x 3

391:17x 23

609:3x 7x 29

925:5x 5x 37

424:2x 2x 2x 53

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

3 = 3

Therefore, the value for common factors is 3.

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 = 22693836047400/(1x3)

LCM = 22693836047400/3

LCM = 7564612015800

Thus, we can understand that the LCM of 243,391,609,925,424 is 7564612015800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 243, 391, 609, 925, 424

1. What is the LCM of 243, 391, 609, 925, 424?

Answer: LCM of 243, 391, 609, 925, 424 is 7564612015800.

2. How to calculate the LCM of 243, 391, 609, 925, 424?

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 243, 391, 609, 925, 424.

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}.