LCM of 694, 192, 208, 550, 447
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 694, 192, 208, 550, 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 694, 192, 208, 550, 447. So, keep reading to learn more.
Given numbers are 694,192,208,550,447
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,192,208,550,447 is 35488939200.
Find LCM of 694,192,208,550,447 with Prime Factorization
| 2 | 694, 192, 208, 550, 447 |
| 2 | 347, 96, 104, 275, 447 |
| 2 | 347, 48, 52, 275, 447 |
| 2 | 347, 24, 26, 275, 447 |
| 3 | 347, 12, 13, 275, 447 |
| 347, 4, 13, 275, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 347 x 4 x 13 x 275 x 149 = 35488939200
Therefore, the lowest common multiple of 694,192,208,550,447 is 35488939200.
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.
694 x 192 x 208 x 550 x 447 = 6813876326400
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.
694 : 1, 2, 347, 694
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
447 : 1, 3, 149, 447
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,192,208,550,447, is 1.
Now, the common factors can be found like this.
694:2x 347
192:2x 2x 2x 2x 2x 2x 3
208:2x 2x 2x 2x 13
550:2x 5x 5x 11
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.
2x 2x 2x 2x 2x 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 6813876326400/(1x192)
LCM = 6813876326400/192
LCM = 35488939200
Thus, we can understand that the LCM of 694,192,208,550,447 is 35488939200.
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FAQs on LCM of 694, 192, 208, 550, 447
1. What is the LCM of 694, 192, 208, 550, 447?
Answer: LCM of 694, 192, 208, 550, 447 is 35488939200.
2. How to calculate the LCM of 694, 192, 208, 550, 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 694, 192, 208, 550, 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}.