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LCM of 217, 706, 343, 404

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


Find the LCM of 217, 706, 343, 404 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 217, 706, 343, 404. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 217,706,343,404

Given numbers are 217,706,343,404

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

The LCM of 217,706,343,404 is 1516393396.

Find LCM of 217,706,343,404 with Prime Factorization


2 217, 706, 343, 404
7 217, 353, 343, 202
31, 353, 49, 202

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

2 x 7 x 31 x 353 x 49 x 202 = 1516393396

Therefore, the lowest common multiple of 217,706,343,404 is 1516393396.

LCM Formula to Find Lowest Common Multiple of 217,706,343,404

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.

217 x 706 x 343 x 404 = 21229507544

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.

217 : 1, 7, 31, 217

706 : 1, 2, 353, 706

343 : 1, 7, 49, 343

404 : 1, 2, 4, 101, 202, 404

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,706,343,404, is 1.

Now, the common factors can be found like this.

217:7x 31

706:2x 353

343:7x 7x 7

404:2x 2x 101

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 21229507544/(1x14)

LCM = 21229507544/14

LCM = 1516393396

Thus, we can understand that the LCM of 217,706,343,404 is 1516393396.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 217, 706, 343, 404

1. What is the LCM of 217, 706, 343, 404?

Answer: LCM of 217, 706, 343, 404 is 1516393396.

2. How to calculate the LCM of 217, 706, 343, 404?

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 217, 706, 343, 404.

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}.