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LCM of 814, 167, 109, 981, 966

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


Find the LCM of 814, 167, 109, 981, 966 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 814, 167, 109, 981, 966. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,167,109,981,966

Given numbers are 814,167,109,981,966

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

The LCM of 814,167,109,981,966 is 21470183658.

Find LCM of 814,167,109,981,966 with Prime Factorization


2 814, 167, 109, 981, 966
3 407, 167, 109, 981, 483
109 407, 167, 109, 327, 161
407, 167, 1, 3, 161

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

2 x 3 x 109 x 407 x 167 x 1 x 3 x 161 = 21470183658

Therefore, the lowest common multiple of 814,167,109,981,966 is 21470183658.

LCM Formula to Find Lowest Common Multiple of 814,167,109,981,966

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.

814 x 167 x 109 x 981 x 966 = 14041500112332

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

167 : 1, 167

109 : 1, 109

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

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,167,109,981,966, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

167:167

109:109

981:3x 3x 109

966:2x 3x 7x 23

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

2x 3x 109 = 654

Therefore, the value for common factors is 654.

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 = 14041500112332/(1x654)

LCM = 14041500112332/654

LCM = 21470183658

Thus, we can understand that the LCM of 814,167,109,981,966 is 21470183658.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 167, 109, 981, 966

1. What is the LCM of 814, 167, 109, 981, 966?

Answer: LCM of 814, 167, 109, 981, 966 is 21470183658.

2. How to calculate the LCM of 814, 167, 109, 981, 966?

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 814, 167, 109, 981, 966.

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}.