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LCM of 211, 803, 940, 633, 913

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


Find the LCM of 211, 803, 940, 633, 913 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, 803, 940, 633, 913. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 211,803,940,633,913

Given numbers are 211,803,940,633,913

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

The LCM of 211,803,940,633,913 is 39657487980.

Find LCM of 211,803,940,633,913 with Prime Factorization


11 211, 803, 940, 633, 913
211 211, 73, 940, 633, 83
1, 73, 940, 3, 83

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

11 x 211 x 1 x 73 x 940 x 3 x 83 = 39657487980

Therefore, the lowest common multiple of 211,803,940,633,913 is 39657487980.

LCM Formula to Find Lowest Common Multiple of 211,803,940,633,913

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 803 x 940 x 633 x 913 = 92045029601580

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

803 : 1, 11, 73, 803

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

633 : 1, 3, 211, 633

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,803,940,633,913, is 1.

Now, the common factors can be found like this.

211:211

803:11x 73

940:2x 2x 5x 47

633:3x 211

913:11x 83

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

11x 211 = 2321

Therefore, the value for common factors is 2321.

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 = 92045029601580/(1x2321)

LCM = 92045029601580/2321

LCM = 39657487980

Thus, we can understand that the LCM of 211,803,940,633,913 is 39657487980.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 211, 803, 940, 633, 913

1. What is the LCM of 211, 803, 940, 633, 913?

Answer: LCM of 211, 803, 940, 633, 913 is 39657487980.

2. How to calculate the LCM of 211, 803, 940, 633, 913?

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, 803, 940, 633, 913.

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}.