LCM of 209, 822, 264, 598, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 822, 264, 598, 184 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, 822, 264, 598, 184. So, keep reading to learn more.
Given numbers are 209,822,264,598,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,822,264,598,184 is 205470408.
Find LCM of 209,822,264,598,184 with Prime Factorization
| 2 | 209, 822, 264, 598, 184 |
| 2 | 209, 411, 132, 299, 92 |
| 2 | 209, 411, 66, 299, 46 |
| 3 | 209, 411, 33, 299, 23 |
| 11 | 209, 137, 11, 299, 23 |
| 23 | 19, 137, 1, 299, 23 |
| 19, 137, 1, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 23 x 19 x 137 x 1 x 13 x 1 = 205470408
Therefore, the lowest common multiple of 209,822,264,598,184 is 205470408.
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 822 x 264 x 598 x 184 = 4990465269504
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
822 : 1, 2, 3, 6, 137, 274, 411, 822
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
598 : 1, 2, 13, 23, 26, 46, 299, 598
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,822,264,598,184, is 1.
Now, the common factors can be found like this.
209:11x 19
822:2x 3x 137
264:2x 2x 2x 3x 11
598:2x 13x 23
184:2x 2x 2x 23
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 3x 11x 23 = 24288
Therefore, the value for common factors is 24288.
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 = 4990465269504/(1x24288)
LCM = 4990465269504/24288
LCM = 205470408
Thus, we can understand that the LCM of 209,822,264,598,184 is 205470408.
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FAQs on LCM of 209, 822, 264, 598, 184
1. What is the LCM of 209, 822, 264, 598, 184?
Answer: LCM of 209, 822, 264, 598, 184 is 205470408.
2. How to calculate the LCM of 209, 822, 264, 598, 184?
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, 822, 264, 598, 184.
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}.