LCM of 519, 180, 684, 207, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 180, 684, 207, 435 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 519, 180, 684, 207, 435. So, keep reading to learn more.
Given numbers are 519,180,684,207,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,180,684,207,435 is 394637220.
Find LCM of 519,180,684,207,435 with Prime Factorization
| 2 | 519, 180, 684, 207, 435 |
| 2 | 519, 90, 342, 207, 435 |
| 3 | 519, 45, 171, 207, 435 |
| 3 | 173, 15, 57, 69, 145 |
| 5 | 173, 5, 19, 23, 145 |
| 173, 1, 19, 23, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 173 x 1 x 19 x 23 x 29 = 394637220
Therefore, the lowest common multiple of 519,180,684,207,435 is 394637220.
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.
519 x 180 x 684 x 207 x 435 = 5753810667600
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.
519 : 1, 3, 173, 519
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
207 : 1, 3, 9, 23, 69, 207
435 : 1, 3, 5, 15, 29, 87, 145, 435
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,180,684,207,435, is 3.
Now, the common factors can be found like this.
519:3x 173
180:2x 2x 3x 3x 5
684:2x 2x 3x 3x 19
207:3x 3x 23
435:3x 5x 29
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 3x 3x 3x 3x 3x 5 = 4860
Therefore, the value for common factors is 4860.
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 = 5753810667600/(3x4860)
LCM = 5753810667600/14580
LCM = 394637220
Thus, we can understand that the LCM of 519,180,684,207,435 is 394637220.
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FAQs on LCM of 519, 180, 684, 207, 435
1. What is the LCM of 519, 180, 684, 207, 435?
Answer: LCM of 519, 180, 684, 207, 435 is 394637220.
2. How to calculate the LCM of 519, 180, 684, 207, 435?
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 519, 180, 684, 207, 435.
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}.