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LCM of 450, 452, 666, 286

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


Find the LCM of 450, 452, 666, 286 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 450, 452, 666, 286. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 450,452,666,286

Given numbers are 450,452,666,286

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

The LCM of 450,452,666,286 is 538094700.

Find LCM of 450,452,666,286 with Prime Factorization


2 450, 452, 666, 286
3 225, 226, 333, 143
3 75, 226, 111, 143
25, 226, 37, 143

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

2 x 3 x 3 x 25 x 226 x 37 x 143 = 538094700

Therefore, the lowest common multiple of 450,452,666,286 is 538094700.

LCM Formula to Find Lowest Common Multiple of 450,452,666,286

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.

450 x 452 x 666 x 286 = 38742818400

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.

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

452 : 1, 2, 4, 113, 226, 452

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

286 : 1, 2, 11, 13, 22, 26, 143, 286

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 450,452,666,286, is 2.

Now, the common factors can be found like this.

450:2x 3x 3x 5x 5

452:2x 2x 113

666:2x 3x 3x 37

286:2x 11x 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 2x 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 38742818400/(2x36)

LCM = 38742818400/72

LCM = 538094700

Thus, we can understand that the LCM of 450,452,666,286 is 538094700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 450, 452, 666, 286

1. What is the LCM of 450, 452, 666, 286?

Answer: LCM of 450, 452, 666, 286 is 538094700.

2. How to calculate the LCM of 450, 452, 666, 286?

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 450, 452, 666, 286.

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}.