LCM of 447, 228, 327, 665
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 228, 327, 665 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 447, 228, 327, 665. So, keep reading to learn more.
Given numbers are 447,228,327,665
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,228,327,665 is 129603180.
Find LCM of 447,228,327,665 with Prime Factorization
| 3 | 447, 228, 327, 665 |
| 19 | 149, 76, 109, 665 |
| 149, 4, 109, 35 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 149 x 4 x 109 x 35 = 129603180
Therefore, the lowest common multiple of 447,228,327,665 is 129603180.
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.
447 x 228 x 327 x 665 = 22162143780
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.
447 : 1, 3, 149, 447
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
327 : 1, 3, 109, 327
665 : 1, 5, 7, 19, 35, 95, 133, 665
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 447,228,327,665, is 1.
Now, the common factors can be found like this.
447:3x 149
228:2x 2x 3x 19
327:3x 109
665:5x 7x 19
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 19 = 171
Therefore, the value for common factors is 171.
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 = 22162143780/(1x171)
LCM = 22162143780/171
LCM = 129603180
Thus, we can understand that the LCM of 447,228,327,665 is 129603180.
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FAQs on LCM of 447, 228, 327, 665
1. What is the LCM of 447, 228, 327, 665?
Answer: LCM of 447, 228, 327, 665 is 129603180.
2. How to calculate the LCM of 447, 228, 327, 665?
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 447, 228, 327, 665.
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}.