LCM of 721, 918, 221, 873, 871
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 918, 221, 873, 871 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, 918, 221, 873, 871. So, keep reading to learn more.
Given numbers are 721,918,221,873,871
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,918,221,873,871 is 55920086586.
Find LCM of 721,918,221,873,871 with Prime Factorization
| 3 | 721, 918, 221, 873, 871 |
| 3 | 721, 306, 221, 291, 871 |
| 13 | 721, 102, 221, 97, 871 |
| 17 | 721, 102, 17, 97, 67 |
| 721, 6, 1, 97, 67 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 17 x 721 x 6 x 1 x 97 x 67 = 55920086586
Therefore, the lowest common multiple of 721,918,221,873,871 is 55920086586.
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 918 x 221 x 873 x 871 = 111225052219554
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
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
221 : 1, 13, 17, 221
873 : 1, 3, 9, 97, 291, 873
871 : 1, 13, 67, 871
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,918,221,873,871, is 1.
Now, the common factors can be found like this.
721:7x 103
918:2x 3x 3x 3x 17
221:13x 17
873:3x 3x 97
871:13x 67
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 13x 17 = 1989
Therefore, the value for common factors is 1989.
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 = 111225052219554/(1x1989)
LCM = 111225052219554/1989
LCM = 55920086586
Thus, we can understand that the LCM of 721,918,221,873,871 is 55920086586.
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FAQs on LCM of 721, 918, 221, 873, 871
1. What is the LCM of 721, 918, 221, 873, 871?
Answer: LCM of 721, 918, 221, 873, 871 is 55920086586.
2. How to calculate the LCM of 721, 918, 221, 873, 871?
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, 918, 221, 873, 871.
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}.