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LCM of 521, 529, 605, 737, 520

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


Find the LCM of 521, 529, 605, 737, 520 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 521, 529, 605, 737, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 521,529,605,737,520

Given numbers are 521,529,605,737,520

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

The LCM of 521,529,605,737,520 is 1161868324760.

Find LCM of 521,529,605,737,520 with Prime Factorization


5 521, 529, 605, 737, 520
11 521, 529, 121, 737, 104
521, 529, 11, 67, 104

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

5 x 11 x 521 x 529 x 11 x 67 x 104 = 1161868324760

Therefore, the lowest common multiple of 521,529,605,737,520 is 1161868324760.

LCM Formula to Find Lowest Common Multiple of 521,529,605,737,520

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.

521 x 529 x 605 x 737 x 520 = 63902757861800

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.

521 : 1, 521

529 : 1, 23, 529

605 : 1, 5, 11, 55, 121, 605

737 : 1, 11, 67, 737

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 521,529,605,737,520, is 1.

Now, the common factors can be found like this.

521:521

529:23x 23

605:5x 11x 11

737:11x 67

520:2x 2x 2x 5x 13

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

5x 11 = 55

Therefore, the value for common factors is 55.

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 = 63902757861800/(1x55)

LCM = 63902757861800/55

LCM = 1161868324760

Thus, we can understand that the LCM of 521,529,605,737,520 is 1161868324760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 521, 529, 605, 737, 520

1. What is the LCM of 521, 529, 605, 737, 520?

Answer: LCM of 521, 529, 605, 737, 520 is 1161868324760.

2. How to calculate the LCM of 521, 529, 605, 737, 520?

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 521, 529, 605, 737, 520.

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}.