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LCM of 197, 247, 553, 551, 810

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


Find the LCM of 197, 247, 553, 551, 810 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 197, 247, 553, 551, 810. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 197,247,553,551,810

Given numbers are 197,247,553,551,810

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

The LCM of 197,247,553,551,810 is 632078950230.

Find LCM of 197,247,553,551,810 with Prime Factorization


19 197, 247, 553, 551, 810
197, 13, 553, 29, 810

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

19 x 197 x 13 x 553 x 29 x 810 = 632078950230

Therefore, the lowest common multiple of 197,247,553,551,810 is 632078950230.

LCM Formula to Find Lowest Common Multiple of 197,247,553,551,810

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.

197 x 247 x 553 x 551 x 810 = 12009500054370

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.

197 : 1, 197

247 : 1, 13, 19, 247

553 : 1, 7, 79, 553

551 : 1, 19, 29, 551

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 197,247,553,551,810, is 1.

Now, the common factors can be found like this.

197:197

247:13x 19

553:7x 79

551:19x 29

810:2x 3x 3x 3x 3x 5

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

19 = 19

Therefore, the value for common factors is 19.

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 = 12009500054370/(1x19)

LCM = 12009500054370/19

LCM = 632078950230

Thus, we can understand that the LCM of 197,247,553,551,810 is 632078950230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 197, 247, 553, 551, 810

1. What is the LCM of 197, 247, 553, 551, 810?

Answer: LCM of 197, 247, 553, 551, 810 is 632078950230.

2. How to calculate the LCM of 197, 247, 553, 551, 810?

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 197, 247, 553, 551, 810.

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}.