LCM of 365, 396, 529, 949, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 365, 396, 529, 949, 447 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 365, 396, 529, 949, 447. So, keep reading to learn more.
Given numbers are 365,396,529,949,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 365,396,529,949,447 is 148106235420.
Find LCM of 365,396,529,949,447 with Prime Factorization
| 3 | 365, 396, 529, 949, 447 |
| 73 | 365, 132, 529, 949, 149 |
| 5, 132, 529, 13, 149 |
Multiply the prime numbers at the bottom and the left side.
3 x 73 x 5 x 132 x 529 x 13 x 149 = 148106235420
Therefore, the lowest common multiple of 365,396,529,949,447 is 148106235420.
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.
365 x 396 x 529 x 949 x 447 = 32435265556980
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.
365 : 1, 5, 73, 365
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
529 : 1, 23, 529
949 : 1, 13, 73, 949
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 365,396,529,949,447, is 1.
Now, the common factors can be found like this.
365:5x 73
396:2x 2x 3x 3x 11
529:23x 23
949:13x 73
447:3x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 73 = 219
Therefore, the value for common factors is 219.
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 = 32435265556980/(1x219)
LCM = 32435265556980/219
LCM = 148106235420
Thus, we can understand that the LCM of 365,396,529,949,447 is 148106235420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 365, 396, 529, 949, 447
1. What is the LCM of 365, 396, 529, 949, 447?
Answer: LCM of 365, 396, 529, 949, 447 is 148106235420.
2. How to calculate the LCM of 365, 396, 529, 949, 447?
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 365, 396, 529, 949, 447.
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}.