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LCM of 993, 439, 259, 990, 967

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


Find the LCM of 993, 439, 259, 990, 967 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 993, 439, 259, 990, 967. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 993,439,259,990,967

Given numbers are 993,439,259,990,967

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

The LCM of 993,439,259,990,967 is 36029144227230.

Find LCM of 993,439,259,990,967 with Prime Factorization


3 993, 439, 259, 990, 967
331, 439, 259, 330, 967

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

3 x 331 x 439 x 259 x 330 x 967 = 36029144227230

Therefore, the lowest common multiple of 993,439,259,990,967 is 36029144227230.

LCM Formula to Find Lowest Common Multiple of 993,439,259,990,967

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.

993 x 439 x 259 x 990 x 967 = 108087432681690

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.

993 : 1, 3, 331, 993

439 : 1, 439

259 : 1, 7, 37, 259

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

967 : 1, 967

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,439,259,990,967, is 1.

Now, the common factors can be found like this.

993:3x 331

439:439

259:7x 37

990:2x 3x 3x 5x 11

967:967

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 = 108087432681690/(1x3)

LCM = 108087432681690/3

LCM = 36029144227230

Thus, we can understand that the LCM of 993,439,259,990,967 is 36029144227230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 993, 439, 259, 990, 967

1. What is the LCM of 993, 439, 259, 990, 967?

Answer: LCM of 993, 439, 259, 990, 967 is 36029144227230.

2. How to calculate the LCM of 993, 439, 259, 990, 967?

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 993, 439, 259, 990, 967.

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}.