LCM of 227, 855, 724, 460, 905
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 855, 724, 460, 905 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 227, 855, 724, 460, 905. So, keep reading to learn more.
Given numbers are 227,855,724,460,905
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,855,724,460,905 is 3231903420.
Find LCM of 227,855,724,460,905 with Prime Factorization
| 2 | 227, 855, 724, 460, 905 |
| 2 | 227, 855, 362, 230, 905 |
| 5 | 227, 855, 181, 115, 905 |
| 181 | 227, 171, 181, 23, 181 |
| 227, 171, 1, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 181 x 227 x 171 x 1 x 23 x 1 = 3231903420
Therefore, the lowest common multiple of 227,855,724,460,905 is 3231903420.
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.
227 x 855 x 724 x 460 x 905 = 58497451902000
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.
227 : 1, 227
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
724 : 1, 2, 4, 181, 362, 724
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
905 : 1, 5, 181, 905
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,855,724,460,905, is 1.
Now, the common factors can be found like this.
227:227
855:3x 3x 5x 19
724:2x 2x 181
460:2x 2x 5x 23
905:5x 181
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 5x 5x 181 = 18100
Therefore, the value for common factors is 18100.
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 = 58497451902000/(1x18100)
LCM = 58497451902000/18100
LCM = 3231903420
Thus, we can understand that the LCM of 227,855,724,460,905 is 3231903420.
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FAQs on LCM of 227, 855, 724, 460, 905
1. What is the LCM of 227, 855, 724, 460, 905?
Answer: LCM of 227, 855, 724, 460, 905 is 3231903420.
2. How to calculate the LCM of 227, 855, 724, 460, 905?
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 227, 855, 724, 460, 905.
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}.