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LCM of 333, 421, 796, 646

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


Find the LCM of 333, 421, 796, 646 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, 421, 796, 646. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 333,421,796,646

Given numbers are 333,421,796,646

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

The LCM of 333,421,796,646 is 36044741844.

Find LCM of 333,421,796,646 with Prime Factorization


2 333, 421, 796, 646
333, 421, 398, 323

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

2 x 333 x 421 x 398 x 323 = 36044741844

Therefore, the lowest common multiple of 333,421,796,646 is 36044741844.

LCM Formula to Find Lowest Common Multiple of 333,421,796,646

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 421 x 796 x 646 = 72089483688

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

421 : 1, 421

796 : 1, 2, 4, 199, 398, 796

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,421,796,646, is 1.

Now, the common factors can be found like this.

333:3x 3x 37

421:421

796:2x 2x 199

646:2x 17x 19

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

2 = 2

Therefore, the value for common factors is 2.

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 = 72089483688/(1x2)

LCM = 72089483688/2

LCM = 36044741844

Thus, we can understand that the LCM of 333,421,796,646 is 36044741844.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 333, 421, 796, 646

1. What is the LCM of 333, 421, 796, 646?

Answer: LCM of 333, 421, 796, 646 is 36044741844.

2. How to calculate the LCM of 333, 421, 796, 646?

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, 421, 796, 646.

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}.