LCM of 696, 209, 432, 812, 918
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 696, 209, 432, 812, 918 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 696, 209, 432, 812, 918. So, keep reading to learn more.
Given numbers are 696,209,432,812,918
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 696,209,432,812,918 is 311583888.
Find LCM of 696,209,432,812,918 with Prime Factorization
| 2 | 696, 209, 432, 812, 918 |
| 2 | 348, 209, 216, 406, 459 |
| 2 | 174, 209, 108, 203, 459 |
| 3 | 87, 209, 54, 203, 459 |
| 3 | 29, 209, 18, 203, 153 |
| 3 | 29, 209, 6, 203, 51 |
| 29 | 29, 209, 2, 203, 17 |
| 1, 209, 2, 7, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 29 x 1 x 209 x 2 x 7 x 17 = 311583888
Therefore, the lowest common multiple of 696,209,432,812,918 is 311583888.
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.
696 x 209 x 432 x 812 x 918 = 46842275386368
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.
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
209 : 1, 11, 19, 209
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 696,209,432,812,918, is 1.
Now, the common factors can be found like this.
696:2x 2x 2x 3x 29
209:11x 19
432:2x 2x 2x 2x 3x 3x 3
812:2x 2x 7x 29
918:2x 3x 3x 3x 17
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 3x 3x 3x 3x 29 = 150336
Therefore, the value for common factors is 150336.
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 = 46842275386368/(1x150336)
LCM = 46842275386368/150336
LCM = 311583888
Thus, we can understand that the LCM of 696,209,432,812,918 is 311583888.
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FAQs on LCM of 696, 209, 432, 812, 918
1. What is the LCM of 696, 209, 432, 812, 918?
Answer: LCM of 696, 209, 432, 812, 918 is 311583888.
2. How to calculate the LCM of 696, 209, 432, 812, 918?
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 696, 209, 432, 812, 918.
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}.