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LCM of 466, 637, 706, 832

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


Find the LCM of 466, 637, 706, 832 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 466, 637, 706, 832. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 466,637,706,832

Given numbers are 466,637,706,832

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

The LCM of 466,637,706,832 is 3353127232.

Find LCM of 466,637,706,832 with Prime Factorization


2 466, 637, 706, 832
13 233, 637, 353, 416
233, 49, 353, 32

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

2 x 13 x 233 x 49 x 353 x 32 = 3353127232

Therefore, the lowest common multiple of 466,637,706,832 is 3353127232.

LCM Formula to Find Lowest Common Multiple of 466,637,706,832

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.

466 x 637 x 706 x 832 = 174362616064

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.

466 : 1, 2, 233, 466

637 : 1, 7, 13, 49, 91, 637

706 : 1, 2, 353, 706

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,637,706,832, is 1.

Now, the common factors can be found like this.

466:2x 233

637:7x 7x 13

706:2x 353

832:2x 2x 2x 2x 2x 2x 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 13 = 52

Therefore, the value for common factors is 52.

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 = 174362616064/(1x52)

LCM = 174362616064/52

LCM = 3353127232

Thus, we can understand that the LCM of 466,637,706,832 is 3353127232.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 466, 637, 706, 832

1. What is the LCM of 466, 637, 706, 832?

Answer: LCM of 466, 637, 706, 832 is 3353127232.

2. How to calculate the LCM of 466, 637, 706, 832?

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 466, 637, 706, 832.

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}.