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LCM of 885, 491, 432, 768, 202

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


Find the LCM of 885, 491, 432, 768, 202 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 885, 491, 432, 768, 202. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 885,491,432,768,202

Given numbers are 885,491,432,768,202

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

The LCM of 885,491,432,768,202 is 101118032640.

Find LCM of 885,491,432,768,202 with Prime Factorization


2 885, 491, 432, 768, 202
2 885, 491, 216, 384, 101
2 885, 491, 108, 192, 101
2 885, 491, 54, 96, 101
3 885, 491, 27, 48, 101
295, 491, 9, 16, 101

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

2 x 2 x 2 x 2 x 3 x 295 x 491 x 9 x 16 x 101 = 101118032640

Therefore, the lowest common multiple of 885,491,432,768,202 is 101118032640.

LCM Formula to Find Lowest Common Multiple of 885,491,432,768,202

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.

885 x 491 x 432 x 768 x 202 = 29121993400320

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.

885 : 1, 3, 5, 15, 59, 177, 295, 885

491 : 1, 491

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

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

202 : 1, 2, 101, 202

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 885,491,432,768,202, is 1.

Now, the common factors can be found like this.

885:3x 5x 59

491:491

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

768:2x 2x 2x 2x 2x 2x 2x 2x 3

202:2x 101

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 29121993400320/(1x288)

LCM = 29121993400320/288

LCM = 101118032640

Thus, we can understand that the LCM of 885,491,432,768,202 is 101118032640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 885, 491, 432, 768, 202

1. What is the LCM of 885, 491, 432, 768, 202?

Answer: LCM of 885, 491, 432, 768, 202 is 101118032640.

2. How to calculate the LCM of 885, 491, 432, 768, 202?

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 885, 491, 432, 768, 202.

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}.