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LCM of 406, 356, 232, 508

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


Find the LCM of 406, 356, 232, 508 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 406, 356, 232, 508. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 406,356,232,508

Given numbers are 406,356,232,508

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

The LCM of 406,356,232,508 is 18356072.

Find LCM of 406,356,232,508 with Prime Factorization


2 406, 356, 232, 508
2 203, 178, 116, 254
29 203, 89, 58, 127
7, 89, 2, 127

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

2 x 2 x 29 x 7 x 89 x 2 x 127 = 18356072

Therefore, the lowest common multiple of 406,356,232,508 is 18356072.

LCM Formula to Find Lowest Common Multiple of 406,356,232,508

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.

406 x 356 x 232 x 508 = 17034434816

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.

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

356 : 1, 2, 4, 89, 178, 356

232 : 1, 2, 4, 8, 29, 58, 116, 232

508 : 1, 2, 4, 127, 254, 508

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,356,232,508, is 2.

Now, the common factors can be found like this.

406:2x 7x 29

356:2x 2x 89

232:2x 2x 2x 29

508:2x 2x 127

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 2x 2x 29 = 464

Therefore, the value for common factors is 464.

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 = 17034434816/(2x464)

LCM = 17034434816/928

LCM = 18356072

Thus, we can understand that the LCM of 406,356,232,508 is 18356072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 406, 356, 232, 508

1. What is the LCM of 406, 356, 232, 508?

Answer: LCM of 406, 356, 232, 508 is 18356072.

2. How to calculate the LCM of 406, 356, 232, 508?

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 406, 356, 232, 508.

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}.