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LCM of 446, 451, 638, 633

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


Find the LCM of 446, 451, 638, 633 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 446, 451, 638, 633. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 446,451,638,633

Given numbers are 446,451,638,633

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

The LCM of 446,451,638,633 is 3692437122.

Find LCM of 446,451,638,633 with Prime Factorization


2 446, 451, 638, 633
11 223, 451, 319, 633
223, 41, 29, 633

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

2 x 11 x 223 x 41 x 29 x 633 = 3692437122

Therefore, the lowest common multiple of 446,451,638,633 is 3692437122.

LCM Formula to Find Lowest Common Multiple of 446,451,638,633

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.

446 x 451 x 638 x 633 = 81233616684

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.

446 : 1, 2, 223, 446

451 : 1, 11, 41, 451

638 : 1, 2, 11, 22, 29, 58, 319, 638

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 446,451,638,633, is 1.

Now, the common factors can be found like this.

446:2x 223

451:11x 41

638:2x 11x 29

633:3x 211

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 = 81233616684/(1x22)

LCM = 81233616684/22

LCM = 3692437122

Thus, we can understand that the LCM of 446,451,638,633 is 3692437122.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 446, 451, 638, 633

1. What is the LCM of 446, 451, 638, 633?

Answer: LCM of 446, 451, 638, 633 is 3692437122.

2. How to calculate the LCM of 446, 451, 638, 633?

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 446, 451, 638, 633.

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}.