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LCM of 981, 208, 857, 939, 863

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


Find the LCM of 981, 208, 857, 939, 863 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 981, 208, 857, 939, 863. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 981,208,857,939,863

Given numbers are 981,208,857,939,863

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

The LCM of 981,208,857,939,863 is 47235476147184.

Find LCM of 981,208,857,939,863 with Prime Factorization


3 981, 208, 857, 939, 863
327, 208, 857, 313, 863

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

3 x 327 x 208 x 857 x 313 x 863 = 47235476147184

Therefore, the lowest common multiple of 981,208,857,939,863 is 47235476147184.

LCM Formula to Find Lowest Common Multiple of 981,208,857,939,863

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.

981 x 208 x 857 x 939 x 863 = 141706428441552

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.

981 : 1, 3, 9, 109, 327, 981

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

857 : 1, 857

939 : 1, 3, 313, 939

863 : 1, 863

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,208,857,939,863, is 1.

Now, the common factors can be found like this.

981:3x 3x 109

208:2x 2x 2x 2x 13

857:857

939:3x 313

863:863

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

3 = 3

Therefore, the value for common factors is 3.

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 = 141706428441552/(1x3)

LCM = 141706428441552/3

LCM = 47235476147184

Thus, we can understand that the LCM of 981,208,857,939,863 is 47235476147184.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 981, 208, 857, 939, 863

1. What is the LCM of 981, 208, 857, 939, 863?

Answer: LCM of 981, 208, 857, 939, 863 is 47235476147184.

2. How to calculate the LCM of 981, 208, 857, 939, 863?

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 981, 208, 857, 939, 863.

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}.