LCM of 209, 448, 847, 361
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 448, 847, 361 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 209, 448, 847, 361. So, keep reading to learn more.
Given numbers are 209,448,847,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,448,847,361 is 19569088.
Find LCM of 209,448,847,361 with Prime Factorization
| 7 | 209, 448, 847, 361 |
| 11 | 209, 64, 121, 361 |
| 19 | 19, 64, 11, 361 |
| 1, 64, 11, 19 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 19 x 1 x 64 x 11 x 19 = 19569088
Therefore, the lowest common multiple of 209,448,847,361 is 19569088.
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.
209 x 448 x 847 x 361 = 28629575744
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.
209 : 1, 11, 19, 209
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
847 : 1, 7, 11, 77, 121, 847
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,448,847,361, is 1.
Now, the common factors can be found like this.
209:11x 19
448:2x 2x 2x 2x 2x 2x 7
847:7x 11x 11
361:19x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 19 = 1463
Therefore, the value for common factors is 1463.
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 = 28629575744/(1x1463)
LCM = 28629575744/1463
LCM = 19569088
Thus, we can understand that the LCM of 209,448,847,361 is 19569088.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 448, 847, 361
1. What is the LCM of 209, 448, 847, 361?
Answer: LCM of 209, 448, 847, 361 is 19569088.
2. How to calculate the LCM of 209, 448, 847, 361?
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 209, 448, 847, 361.
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}.