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LCM of 333, 162, 814, 507

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


Find the LCM of 333, 162, 814, 507 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, 162, 814, 507. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 333,162,814,507

Given numbers are 333,162,814,507

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

The LCM of 333,162,814,507 is 11142846.

Find LCM of 333,162,814,507 with Prime Factorization


2 333, 162, 814, 507
3 333, 81, 407, 507
3 111, 27, 407, 169
37 37, 9, 407, 169
1, 9, 11, 169

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

2 x 3 x 3 x 37 x 1 x 9 x 11 x 169 = 11142846

Therefore, the lowest common multiple of 333,162,814,507 is 11142846.

LCM Formula to Find Lowest Common Multiple of 333,162,814,507

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 162 x 814 x 507 = 22263406308

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

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

814 : 1, 2, 11, 22, 37, 74, 407, 814

507 : 1, 3, 13, 39, 169, 507

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,162,814,507, is 1.

Now, the common factors can be found like this.

333:3x 3x 37

162:2x 3x 3x 3x 3

814:2x 11x 37

507:3x 13x 13

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 3x 37 = 1998

Therefore, the value for common factors is 1998.

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 = 22263406308/(1x1998)

LCM = 22263406308/1998

LCM = 11142846

Thus, we can understand that the LCM of 333,162,814,507 is 11142846.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 333, 162, 814, 507

1. What is the LCM of 333, 162, 814, 507?

Answer: LCM of 333, 162, 814, 507 is 11142846.

2. How to calculate the LCM of 333, 162, 814, 507?

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, 162, 814, 507.

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}.