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LCM of 209, 400, 737, 537, 521

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


Find the LCM of 209, 400, 737, 537, 521 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 209, 400, 737, 537, 521. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 209,400,737,537,521

Given numbers are 209,400,737,537,521

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

The LCM of 209,400,737,537,521 is 1567086932400.

Find LCM of 209,400,737,537,521 with Prime Factorization


11 209, 400, 737, 537, 521
19, 400, 67, 537, 521

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

11 x 19 x 400 x 67 x 537 x 521 = 1567086932400

Therefore, the lowest common multiple of 209,400,737,537,521 is 1567086932400.

LCM Formula to Find Lowest Common Multiple of 209,400,737,537,521

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.

209 x 400 x 737 x 537 x 521 = 17237956256400

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.

209 : 1, 11, 19, 209

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

737 : 1, 11, 67, 737

537 : 1, 3, 179, 537

521 : 1, 521

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,400,737,537,521, is 1.

Now, the common factors can be found like this.

209:11x 19

400:2x 2x 2x 2x 5x 5

737:11x 67

537:3x 179

521:521

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

11 = 11

Therefore, the value for common factors is 11.

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 = 17237956256400/(1x11)

LCM = 17237956256400/11

LCM = 1567086932400

Thus, we can understand that the LCM of 209,400,737,537,521 is 1567086932400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 209, 400, 737, 537, 521

1. What is the LCM of 209, 400, 737, 537, 521?

Answer: LCM of 209, 400, 737, 537, 521 is 1567086932400.

2. How to calculate the LCM of 209, 400, 737, 537, 521?

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 209, 400, 737, 537, 521.

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}.