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LCM of 414, 406, 724, 468

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


Find the LCM of 414, 406, 724, 468 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 414, 406, 724, 468. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 414,406,724,468

Given numbers are 414,406,724,468

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

The LCM of 414,406,724,468 is 395501652.

Find LCM of 414,406,724,468 with Prime Factorization


2 414, 406, 724, 468
2 207, 203, 362, 234
3 207, 203, 181, 117
3 69, 203, 181, 39
23, 203, 181, 13

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

2 x 2 x 3 x 3 x 23 x 203 x 181 x 13 = 395501652

Therefore, the lowest common multiple of 414,406,724,468 is 395501652.

LCM Formula to Find Lowest Common Multiple of 414,406,724,468

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.

414 x 406 x 724 x 468 = 56952237888

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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

724 : 1, 2, 4, 181, 362, 724

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,406,724,468, is 2.

Now, the common factors can be found like this.

414:2x 3x 3x 23

406:2x 7x 29

724:2x 2x 181

468:2x 2x 3x 3x 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 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 56952237888/(2x72)

LCM = 56952237888/144

LCM = 395501652

Thus, we can understand that the LCM of 414,406,724,468 is 395501652.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 414, 406, 724, 468

1. What is the LCM of 414, 406, 724, 468?

Answer: LCM of 414, 406, 724, 468 is 395501652.

2. How to calculate the LCM of 414, 406, 724, 468?

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 414, 406, 724, 468.

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}.