LCM of 721, 664, 731, 220, 927
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 664, 731, 220, 927 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 721, 664, 731, 220, 927. So, keep reading to learn more.
Given numbers are 721,664,731,220,927
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,664,731,220,927 is 173231122680.
Find LCM of 721,664,731,220,927 with Prime Factorization
| 2 | 721, 664, 731, 220, 927 |
| 2 | 721, 332, 731, 110, 927 |
| 103 | 721, 166, 731, 55, 927 |
| 7, 166, 731, 55, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 103 x 7 x 166 x 731 x 55 x 9 = 173231122680
Therefore, the lowest common multiple of 721,664,731,220,927 is 173231122680.
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.
721 x 664 x 731 x 220 x 927 = 71371222544160
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.
721 : 1, 7, 103, 721
664 : 1, 2, 4, 8, 83, 166, 332, 664
731 : 1, 17, 43, 731
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
927 : 1, 3, 9, 103, 309, 927
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,664,731,220,927, is 1.
Now, the common factors can be found like this.
721:7x 103
664:2x 2x 2x 83
731:17x 43
220:2x 2x 5x 11
927:3x 3x 103
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 103 = 412
Therefore, the value for common factors is 412.
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 = 71371222544160/(1x412)
LCM = 71371222544160/412
LCM = 173231122680
Thus, we can understand that the LCM of 721,664,731,220,927 is 173231122680.
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FAQs on LCM of 721, 664, 731, 220, 927
1. What is the LCM of 721, 664, 731, 220, 927?
Answer: LCM of 721, 664, 731, 220, 927 is 173231122680.
2. How to calculate the LCM of 721, 664, 731, 220, 927?
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 721, 664, 731, 220, 927.
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}.