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LCM of 211, 429, 935, 481

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


Find the LCM of 211, 429, 935, 481 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 211, 429, 935, 481. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 211,429,935,481

Given numbers are 211,429,935,481

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

The LCM of 211,429,935,481 is 284682255.

Find LCM of 211,429,935,481 with Prime Factorization


11 211, 429, 935, 481
13 211, 39, 85, 481
211, 3, 85, 37

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

11 x 13 x 211 x 3 x 85 x 37 = 284682255

Therefore, the lowest common multiple of 211,429,935,481 is 284682255.

LCM Formula to Find Lowest Common Multiple of 211,429,935,481

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.

211 x 429 x 935 x 481 = 40709562465

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.

211 : 1, 211

429 : 1, 3, 11, 13, 33, 39, 143, 429

935 : 1, 5, 11, 17, 55, 85, 187, 935

481 : 1, 13, 37, 481

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,429,935,481, is 1.

Now, the common factors can be found like this.

211:211

429:3x 11x 13

935:5x 11x 17

481:13x 37

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 40709562465/(1x143)

LCM = 40709562465/143

LCM = 284682255

Thus, we can understand that the LCM of 211,429,935,481 is 284682255.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 211, 429, 935, 481

1. What is the LCM of 211, 429, 935, 481?

Answer: LCM of 211, 429, 935, 481 is 284682255.

2. How to calculate the LCM of 211, 429, 935, 481?

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 211, 429, 935, 481.

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}.