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LCM of 324, 970, 939, 454, 363

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


Find the LCM of 324, 970, 939, 454, 363 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 324, 970, 939, 454, 363. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 324,970,939,454,363

Given numbers are 324,970,939,454,363

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

The LCM of 324,970,939,454,363 is 1350959450940.

Find LCM of 324,970,939,454,363 with Prime Factorization


2 324, 970, 939, 454, 363
3 162, 485, 939, 227, 363
54, 485, 313, 227, 121

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

2 x 3 x 54 x 485 x 313 x 227 x 121 = 1350959450940

Therefore, the lowest common multiple of 324,970,939,454,363 is 1350959450940.

LCM Formula to Find Lowest Common Multiple of 324,970,939,454,363

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.

324 x 970 x 939 x 454 x 363 = 48634540233840

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.

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

970 : 1, 2, 5, 10, 97, 194, 485, 970

939 : 1, 3, 313, 939

454 : 1, 2, 227, 454

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 324,970,939,454,363, is 1.

Now, the common factors can be found like this.

324:2x 2x 3x 3x 3x 3

970:2x 5x 97

939:3x 313

454:2x 227

363:3x 11x 11

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 3 = 36

Therefore, the value for common factors is 36.

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 = 48634540233840/(1x36)

LCM = 48634540233840/36

LCM = 1350959450940

Thus, we can understand that the LCM of 324,970,939,454,363 is 1350959450940.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 324, 970, 939, 454, 363

1. What is the LCM of 324, 970, 939, 454, 363?

Answer: LCM of 324, 970, 939, 454, 363 is 1350959450940.

2. How to calculate the LCM of 324, 970, 939, 454, 363?

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 324, 970, 939, 454, 363.

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}.