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LCM of 335, 405, 606, 804

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


Find the LCM of 335, 405, 606, 804 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 335, 405, 606, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 335,405,606,804

Given numbers are 335,405,606,804

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

The LCM of 335,405,606,804 is 10962540.

Find LCM of 335,405,606,804 with Prime Factorization


2 335, 405, 606, 804
3 335, 405, 303, 402
5 335, 135, 101, 134
67 67, 27, 101, 134
1, 27, 101, 2

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

2 x 3 x 5 x 67 x 1 x 27 x 101 x 2 = 10962540

Therefore, the lowest common multiple of 335,405,606,804 is 10962540.

LCM Formula to Find Lowest Common Multiple of 335,405,606,804

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.

335 x 405 x 606 x 804 = 66104116200

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.

335 : 1, 5, 67, 335

405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405

606 : 1, 2, 3, 6, 101, 202, 303, 606

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,405,606,804, is 1.

Now, the common factors can be found like this.

335:5x 67

405:3x 3x 3x 3x 5

606:2x 3x 101

804:2x 2x 3x 67

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 3x 5x 67 = 6030

Therefore, the value for common factors is 6030.

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 = 66104116200/(1x6030)

LCM = 66104116200/6030

LCM = 10962540

Thus, we can understand that the LCM of 335,405,606,804 is 10962540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 335, 405, 606, 804

1. What is the LCM of 335, 405, 606, 804?

Answer: LCM of 335, 405, 606, 804 is 10962540.

2. How to calculate the LCM of 335, 405, 606, 804?

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 335, 405, 606, 804.

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}.