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LCM of 400, 192, 197, 432

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


Find the LCM of 400, 192, 197, 432 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 400, 192, 197, 432. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 400,192,197,432

Given numbers are 400,192,197,432

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

The LCM of 400,192,197,432 is 8510400.

Find LCM of 400,192,197,432 with Prime Factorization


2 400, 192, 197, 432
2 200, 96, 197, 216
2 100, 48, 197, 108
2 50, 24, 197, 54
3 25, 12, 197, 27
25, 4, 197, 9

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

2 x 2 x 2 x 2 x 3 x 25 x 4 x 197 x 9 = 8510400

Therefore, the lowest common multiple of 400,192,197,432 is 8510400.

LCM Formula to Find Lowest Common Multiple of 400,192,197,432

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.

400 x 192 x 197 x 432 = 6535987200

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.

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

192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192

197 : 1, 197

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 400,192,197,432, is 1.

Now, the common factors can be found like this.

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

192:2x 2x 2x 2x 2x 2x 3

197:197

432:2x 2x 2x 2x 3x 3x 3

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

2x 2x 2x 2x 2x 2x 2x 2x 3 = 768

Therefore, the value for common factors is 768.

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 = 6535987200/(1x768)

LCM = 6535987200/768

LCM = 8510400

Thus, we can understand that the LCM of 400,192,197,432 is 8510400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 400, 192, 197, 432

1. What is the LCM of 400, 192, 197, 432?

Answer: LCM of 400, 192, 197, 432 is 8510400.

2. How to calculate the LCM of 400, 192, 197, 432?

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 400, 192, 197, 432.

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}.