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LCM of 333, 393, 338, 494

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


Find the LCM of 333, 393, 338, 494 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 333, 393, 338, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 333,393,338,494

Given numbers are 333,393,338,494

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

The LCM of 333,393,338,494 is 280146906.

Find LCM of 333,393,338,494 with Prime Factorization


2 333, 393, 338, 494
3 333, 393, 169, 247
13 111, 131, 169, 247
111, 131, 13, 19

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

2 x 3 x 13 x 111 x 131 x 13 x 19 = 280146906

Therefore, the lowest common multiple of 333,393,338,494 is 280146906.

LCM Formula to Find Lowest Common Multiple of 333,393,338,494

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.

333 x 393 x 338 x 494 = 21851458668

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.

333 : 1, 3, 9, 37, 111, 333

393 : 1, 3, 131, 393

338 : 1, 2, 13, 26, 169, 338

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,393,338,494, is 1.

Now, the common factors can be found like this.

333:3x 3x 37

393:3x 131

338:2x 13x 13

494:2x 13x 19

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 13 = 78

Therefore, the value for common factors is 78.

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 = 21851458668/(1x78)

LCM = 21851458668/78

LCM = 280146906

Thus, we can understand that the LCM of 333,393,338,494 is 280146906.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 333, 393, 338, 494

1. What is the LCM of 333, 393, 338, 494?

Answer: LCM of 333, 393, 338, 494 is 280146906.

2. How to calculate the LCM of 333, 393, 338, 494?

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 333, 393, 338, 494.

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}.