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LCM of 215, 559, 520, 497

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


Find the LCM of 215, 559, 520, 497 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 215, 559, 520, 497. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 215,559,520,497

Given numbers are 215,559,520,497

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

The LCM of 215,559,520,497 is 11112920.

Find LCM of 215,559,520,497 with Prime Factorization


5 215, 559, 520, 497
13 43, 559, 104, 497
43 43, 43, 8, 497
1, 1, 8, 497

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

5 x 13 x 43 x 1 x 1 x 8 x 497 = 11112920

Therefore, the lowest common multiple of 215,559,520,497 is 11112920.

LCM Formula to Find Lowest Common Multiple of 215,559,520,497

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.

215 x 559 x 520 x 497 = 31060611400

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.

215 : 1, 5, 43, 215

559 : 1, 13, 43, 559

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 215,559,520,497, is 1.

Now, the common factors can be found like this.

215:5x 43

559:13x 43

520:2x 2x 2x 5x 13

497:7x 71

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

5x 13x 43 = 2795

Therefore, the value for common factors is 2795.

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 = 31060611400/(1x2795)

LCM = 31060611400/2795

LCM = 11112920

Thus, we can understand that the LCM of 215,559,520,497 is 11112920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 215, 559, 520, 497

1. What is the LCM of 215, 559, 520, 497?

Answer: LCM of 215, 559, 520, 497 is 11112920.

2. How to calculate the LCM of 215, 559, 520, 497?

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 215, 559, 520, 497.

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}.