LCM of 470, 388, 180, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 388, 180, 519 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 470, 388, 180, 519. So, keep reading to learn more.
Given numbers are 470,388,180,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,388,180,519 is 141967260.
Find LCM of 470,388,180,519 with Prime Factorization
| 2 | 470, 388, 180, 519 |
| 2 | 235, 194, 90, 519 |
| 3 | 235, 97, 45, 519 |
| 5 | 235, 97, 15, 173 |
| 47, 97, 3, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 47 x 97 x 3 x 173 = 141967260
Therefore, the lowest common multiple of 470,388,180,519 is 141967260.
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.
470 x 388 x 180 x 519 = 17036071200
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
388 : 1, 2, 4, 97, 194, 388
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,388,180,519, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
388:2x 2x 97
180:2x 2x 3x 3x 5
519:3x 173
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 5 = 120
Therefore, the value for common factors is 120.
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 = 17036071200/(1x120)
LCM = 17036071200/120
LCM = 141967260
Thus, we can understand that the LCM of 470,388,180,519 is 141967260.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 470, 388, 180, 519
1. What is the LCM of 470, 388, 180, 519?
Answer: LCM of 470, 388, 180, 519 is 141967260.
2. How to calculate the LCM of 470, 388, 180, 519?
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 470, 388, 180, 519.
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}.