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LCM of 304, 509, 450, 606

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


Find the LCM of 304, 509, 450, 606 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 304, 509, 450, 606. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 304,509,450,606

Given numbers are 304,509,450,606

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

The LCM of 304,509,450,606 is 3516375600.

Find LCM of 304,509,450,606 with Prime Factorization


2 304, 509, 450, 606
3 152, 509, 225, 303
152, 509, 75, 101

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

2 x 3 x 152 x 509 x 75 x 101 = 3516375600

Therefore, the lowest common multiple of 304,509,450,606 is 3516375600.

LCM Formula to Find Lowest Common Multiple of 304,509,450,606

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.

304 x 509 x 450 x 606 = 42196507200

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.

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

509 : 1, 509

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 304,509,450,606, is 1.

Now, the common factors can be found like this.

304:2x 2x 2x 2x 19

509:509

450:2x 3x 3x 5x 5

606:2x 3x 101

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 42196507200/(1x12)

LCM = 42196507200/12

LCM = 3516375600

Thus, we can understand that the LCM of 304,509,450,606 is 3516375600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 304, 509, 450, 606

1. What is the LCM of 304, 509, 450, 606?

Answer: LCM of 304, 509, 450, 606 is 3516375600.

2. How to calculate the LCM of 304, 509, 450, 606?

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 304, 509, 450, 606.

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}.