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LCM of 533, 206, 406, 474

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


Find the LCM of 533, 206, 406, 474 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 533, 206, 406, 474. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,206,406,474

Given numbers are 533,206,406,474

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

The LCM of 533,206,406,474 is 5282491578.

Find LCM of 533,206,406,474 with Prime Factorization


2 533, 206, 406, 474
533, 103, 203, 237

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

2 x 533 x 103 x 203 x 237 = 5282491578

Therefore, the lowest common multiple of 533,206,406,474 is 5282491578.

LCM Formula to Find Lowest Common Multiple of 533,206,406,474

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.

533 x 206 x 406 x 474 = 21129966312

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.

533 : 1, 13, 41, 533

206 : 1, 2, 103, 206

406 : 1, 2, 7, 14, 29, 58, 203, 406

474 : 1, 2, 3, 6, 79, 158, 237, 474

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,206,406,474, is 1.

Now, the common factors can be found like this.

533:13x 41

206:2x 103

406:2x 7x 29

474:2x 3x 79

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21129966312/(1x4)

LCM = 21129966312/4

LCM = 5282491578

Thus, we can understand that the LCM of 533,206,406,474 is 5282491578.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 206, 406, 474

1. What is the LCM of 533, 206, 406, 474?

Answer: LCM of 533, 206, 406, 474 is 5282491578.

2. How to calculate the LCM of 533, 206, 406, 474?

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 533, 206, 406, 474.

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}.