LCM of 227, 185, 460, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 185, 460, 667 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, 185, 460, 667. So, keep reading to learn more.
Given numbers are 227,185,460,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,185,460,667 is 112042660.
Find LCM of 227,185,460,667 with Prime Factorization
| 5 | 227, 185, 460, 667 |
| 23 | 227, 37, 92, 667 |
| 227, 37, 4, 29 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 227 x 37 x 4 x 29 = 112042660
Therefore, the lowest common multiple of 227,185,460,667 is 112042660.
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 185 x 460 x 667 = 12884905900
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
185 : 1, 5, 37, 185
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,185,460,667, is 1.
Now, the common factors can be found like this.
227:227
185:5x 37
460:2x 2x 5x 23
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 23 = 115
Therefore, the value for common factors is 115.
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 = 12884905900/(1x115)
LCM = 12884905900/115
LCM = 112042660
Thus, we can understand that the LCM of 227,185,460,667 is 112042660.
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FAQs on LCM of 227, 185, 460, 667
1. What is the LCM of 227, 185, 460, 667?
Answer: LCM of 227, 185, 460, 667 is 112042660.
2. How to calculate the LCM of 227, 185, 460, 667?
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, 185, 460, 667.
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}.