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LCM of 463, 462, 475, 320, 197

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


Find the LCM of 463, 462, 475, 320, 197 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 463, 462, 475, 320, 197. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 463,462,475,320,197

Given numbers are 463,462,475,320,197

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

The LCM of 463,462,475,320,197 is 640520126400.

Find LCM of 463,462,475,320,197 with Prime Factorization


2 463, 462, 475, 320, 197
5 463, 231, 475, 160, 197
463, 231, 95, 32, 197

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

2 x 5 x 463 x 231 x 95 x 32 x 197 = 640520126400

Therefore, the lowest common multiple of 463,462,475,320,197 is 640520126400.

LCM Formula to Find Lowest Common Multiple of 463,462,475,320,197

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.

463 x 462 x 475 x 320 x 197 = 6405201264000

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.

463 : 1, 463

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

475 : 1, 5, 19, 25, 95, 475

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

197 : 1, 197

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,462,475,320,197, is 1.

Now, the common factors can be found like this.

463:463

462:2x 3x 7x 11

475:5x 5x 19

320:2x 2x 2x 2x 2x 2x 5

197:197

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 6405201264000/(1x10)

LCM = 6405201264000/10

LCM = 640520126400

Thus, we can understand that the LCM of 463,462,475,320,197 is 640520126400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 463, 462, 475, 320, 197

1. What is the LCM of 463, 462, 475, 320, 197?

Answer: LCM of 463, 462, 475, 320, 197 is 640520126400.

2. How to calculate the LCM of 463, 462, 475, 320, 197?

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 463, 462, 475, 320, 197.

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}.