LCM of 809, 596, 207, 510, 612
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 596, 207, 510, 612 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 809, 596, 207, 510, 612. So, keep reading to learn more.
Given numbers are 809,596,207,510,612
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,596,207,510,612 is 8483675580.
Find LCM of 809,596,207,510,612 with Prime Factorization
| 2 | 809, 596, 207, 510, 612 |
| 2 | 809, 298, 207, 255, 306 |
| 3 | 809, 149, 207, 255, 153 |
| 3 | 809, 149, 69, 85, 51 |
| 17 | 809, 149, 23, 85, 17 |
| 809, 149, 23, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 17 x 809 x 149 x 23 x 5 x 1 = 8483675580
Therefore, the lowest common multiple of 809,596,207,510,612 is 8483675580.
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.
809 x 596 x 207 x 510 x 612 = 31152056729760
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.
809 : 1, 809
596 : 1, 2, 4, 149, 298, 596
207 : 1, 3, 9, 23, 69, 207
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,596,207,510,612, is 1.
Now, the common factors can be found like this.
809:809
596:2x 2x 149
207:3x 3x 23
510:2x 3x 5x 17
612:2x 2x 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 3x 3x 3x 17 = 3672
Therefore, the value for common factors is 3672.
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 = 31152056729760/(1x3672)
LCM = 31152056729760/3672
LCM = 8483675580
Thus, we can understand that the LCM of 809,596,207,510,612 is 8483675580.
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FAQs on LCM of 809, 596, 207, 510, 612
1. What is the LCM of 809, 596, 207, 510, 612?
Answer: LCM of 809, 596, 207, 510, 612 is 8483675580.
2. How to calculate the LCM of 809, 596, 207, 510, 612?
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 809, 596, 207, 510, 612.
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}.