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LCM of 281, 885, 817, 380

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


Find the LCM of 281, 885, 817, 380 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 281, 885, 817, 380. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 281,885,817,380

Given numbers are 281,885,817,380

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

The LCM of 281,885,817,380 is 812702580.

Find LCM of 281,885,817,380 with Prime Factorization


5 281, 885, 817, 380
19 281, 177, 817, 76
281, 177, 43, 4

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

5 x 19 x 281 x 177 x 43 x 4 = 812702580

Therefore, the lowest common multiple of 281,885,817,380 is 812702580.

LCM Formula to Find Lowest Common Multiple of 281,885,817,380

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.

281 x 885 x 817 x 380 = 77206745100

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.

281 : 1, 281

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

817 : 1, 19, 43, 817

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 281,885,817,380, is 1.

Now, the common factors can be found like this.

281:281

885:3x 5x 59

817:19x 43

380:2x 2x 5x 19

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

5x 19 = 95

Therefore, the value for common factors is 95.

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 = 77206745100/(1x95)

LCM = 77206745100/95

LCM = 812702580

Thus, we can understand that the LCM of 281,885,817,380 is 812702580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 281, 885, 817, 380

1. What is the LCM of 281, 885, 817, 380?

Answer: LCM of 281, 885, 817, 380 is 812702580.

2. How to calculate the LCM of 281, 885, 817, 380?

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 281, 885, 817, 380.

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}.