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LCM of 406, 725, 347, 664

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


Find the LCM of 406, 725, 347, 664 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, 725, 347, 664. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 406,725,347,664

Given numbers are 406,725,347,664

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

The LCM of 406,725,347,664 is 1169320600.

Find LCM of 406,725,347,664 with Prime Factorization


2 406, 725, 347, 664
29 203, 725, 347, 332
7, 25, 347, 332

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

2 x 29 x 7 x 25 x 347 x 332 = 1169320600

Therefore, the lowest common multiple of 406,725,347,664 is 1169320600.

LCM Formula to Find Lowest Common Multiple of 406,725,347,664

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 725 x 347 x 664 = 67820594800

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

725 : 1, 5, 25, 29, 145, 725

347 : 1, 347

664 : 1, 2, 4, 8, 83, 166, 332, 664

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,725,347,664, is 1.

Now, the common factors can be found like this.

406:2x 7x 29

725:5x 5x 29

347:347

664:2x 2x 2x 83

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 67820594800/(1x58)

LCM = 67820594800/58

LCM = 1169320600

Thus, we can understand that the LCM of 406,725,347,664 is 1169320600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 406, 725, 347, 664

1. What is the LCM of 406, 725, 347, 664?

Answer: LCM of 406, 725, 347, 664 is 1169320600.

2. How to calculate the LCM of 406, 725, 347, 664?

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, 725, 347, 664.

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}.