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LCM of 833, 629, 238, 333

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


Find the LCM of 833, 629, 238, 333 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 833, 629, 238, 333. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 833,629,238,333

Given numbers are 833,629,238,333

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

The LCM of 833,629,238,333 is 554778.

Find LCM of 833,629,238,333 with Prime Factorization


7 833, 629, 238, 333
17 119, 629, 34, 333
37 7, 37, 2, 333
7, 1, 2, 9

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

7 x 17 x 37 x 7 x 1 x 2 x 9 = 554778

Therefore, the lowest common multiple of 833,629,238,333 is 554778.

LCM Formula to Find Lowest Common Multiple of 833,629,238,333

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.

833 x 629 x 238 x 333 = 41525688078

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.

833 : 1, 7, 17, 49, 119, 833

629 : 1, 17, 37, 629

238 : 1, 2, 7, 14, 17, 34, 119, 238

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 833,629,238,333, is 1.

Now, the common factors can be found like this.

833:7x 7x 17

629:17x 37

238:2x 7x 17

333:3x 3x 37

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

7x 17x 17x 37 = 74851

Therefore, the value for common factors is 74851.

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 = 41525688078/(1x74851)

LCM = 41525688078/74851

LCM = 554778

Thus, we can understand that the LCM of 833,629,238,333 is 554778.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 833, 629, 238, 333

1. What is the LCM of 833, 629, 238, 333?

Answer: LCM of 833, 629, 238, 333 is 554778.

2. How to calculate the LCM of 833, 629, 238, 333?

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 833, 629, 238, 333.

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}.