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LCM of 339, 136, 990, 594

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


Find the LCM of 339, 136, 990, 594 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 339, 136, 990, 594. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 339,136,990,594

Given numbers are 339,136,990,594

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

The LCM of 339,136,990,594 is 22821480.

Find LCM of 339,136,990,594 with Prime Factorization


2 339, 136, 990, 594
3 339, 68, 495, 297
3 113, 68, 165, 99
11 113, 68, 55, 33
113, 68, 5, 3

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

2 x 3 x 3 x 11 x 113 x 68 x 5 x 3 = 22821480

Therefore, the lowest common multiple of 339,136,990,594 is 22821480.

LCM Formula to Find Lowest Common Multiple of 339,136,990,594

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.

339 x 136 x 990 x 594 = 27111918240

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.

339 : 1, 3, 113, 339

136 : 1, 2, 4, 8, 17, 34, 68, 136

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

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 339,136,990,594, is 1.

Now, the common factors can be found like this.

339:3x 113

136:2x 2x 2x 17

990:2x 3x 3x 5x 11

594:2x 3x 3x 3x 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 3x 3x 11 = 1188

Therefore, the value for common factors is 1188.

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 = 27111918240/(1x1188)

LCM = 27111918240/1188

LCM = 22821480

Thus, we can understand that the LCM of 339,136,990,594 is 22821480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 339, 136, 990, 594

1. What is the LCM of 339, 136, 990, 594?

Answer: LCM of 339, 136, 990, 594 is 22821480.

2. How to calculate the LCM of 339, 136, 990, 594?

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 339, 136, 990, 594.

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}.