LCM of 537, 209, 209, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 537, 209, 209, 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 537, 209, 209, 447. So, keep reading to learn more.
Given numbers are 537,209,209,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,209,209,447 is 16722717.
Find LCM of 537,209,209,447 with Prime Factorization
| 3 | 537, 209, 209, 447 |
| 11 | 179, 209, 209, 149 |
| 19 | 179, 19, 19, 149 |
| 179, 1, 1, 149 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 19 x 179 x 1 x 1 x 149 = 16722717
Therefore, the lowest common multiple of 537,209,209,447 is 16722717.
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.
537 x 209 x 209 x 447 = 10485143559
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.
537 : 1, 3, 179, 537
209 : 1, 11, 19, 209
209 : 1, 11, 19, 209
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,209,209,447, is 1.
Now, the common factors can be found like this.
537:3x 179
209:11x 19
209:11x 19
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 11x 19 = 627
Therefore, the value for common factors is 627.
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 = 10485143559/(1x627)
LCM = 10485143559/627
LCM = 16722717
Thus, we can understand that the LCM of 537,209,209,447 is 16722717.
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FAQs on LCM of 537, 209, 209, 447
1. What is the LCM of 537, 209, 209, 447?
Answer: LCM of 537, 209, 209, 447 is 16722717.
2. How to calculate the LCM of 537, 209, 209, 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 537, 209, 209, 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}.