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LCM of 882, 783, 561, 839, 885

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


Find the LCM of 882, 783, 561, 839, 885 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 882, 783, 561, 839, 885. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 882,783,561,839,885

Given numbers are 882,783,561,839,885

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

The LCM of 882,783,561,839,885 is 3551513101290.

Find LCM of 882,783,561,839,885 with Prime Factorization


3 882, 783, 561, 839, 885
3 294, 261, 187, 839, 295
98, 87, 187, 839, 295

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

3 x 3 x 98 x 87 x 187 x 839 x 295 = 3551513101290

Therefore, the lowest common multiple of 882,783,561,839,885 is 3551513101290.

LCM Formula to Find Lowest Common Multiple of 882,783,561,839,885

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.

882 x 783 x 561 x 839 x 885 = 287672561204490

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.

882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

783 : 1, 3, 9, 27, 29, 87, 261, 783

561 : 1, 3, 11, 17, 33, 51, 187, 561

839 : 1, 839

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 882,783,561,839,885, is 1.

Now, the common factors can be found like this.

882:2x 3x 3x 7x 7

783:3x 3x 3x 29

561:3x 11x 17

839:839

885:3x 5x 59

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

3x 3x 3x 3 = 81

Therefore, the value for common factors is 81.

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 = 287672561204490/(1x81)

LCM = 287672561204490/81

LCM = 3551513101290

Thus, we can understand that the LCM of 882,783,561,839,885 is 3551513101290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 882, 783, 561, 839, 885

1. What is the LCM of 882, 783, 561, 839, 885?

Answer: LCM of 882, 783, 561, 839, 885 is 3551513101290.

2. How to calculate the LCM of 882, 783, 561, 839, 885?

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 882, 783, 561, 839, 885.

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}.