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LCM of 407, 682, 446, 229

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


Find the LCM of 407, 682, 446, 229 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 407, 682, 446, 229. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,682,446,229

Given numbers are 407,682,446,229

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

The LCM of 407,682,446,229 is 1288624678.

Find LCM of 407,682,446,229 with Prime Factorization


2 407, 682, 446, 229
11 407, 341, 223, 229
37, 31, 223, 229

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

2 x 11 x 37 x 31 x 223 x 229 = 1288624678

Therefore, the lowest common multiple of 407,682,446,229 is 1288624678.

LCM Formula to Find Lowest Common Multiple of 407,682,446,229

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.

407 x 682 x 446 x 229 = 28349742916

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.

407 : 1, 11, 37, 407

682 : 1, 2, 11, 22, 31, 62, 341, 682

446 : 1, 2, 223, 446

229 : 1, 229

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,682,446,229, is 1.

Now, the common factors can be found like this.

407:11x 37

682:2x 11x 31

446:2x 223

229:229

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 28349742916/(1x22)

LCM = 28349742916/22

LCM = 1288624678

Thus, we can understand that the LCM of 407,682,446,229 is 1288624678.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 682, 446, 229

1. What is the LCM of 407, 682, 446, 229?

Answer: LCM of 407, 682, 446, 229 is 1288624678.

2. How to calculate the LCM of 407, 682, 446, 229?

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 407, 682, 446, 229.

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}.