Find the LCM of 514, 562, 360, 285 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 514, 562, 360, 285. So, keep reading to learn more.
Given numbers are 514,562,360,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 514,562,360,285 is 493964280.
Find LCM of 514,562,360,285 with Prime Factorization
2 | 514, 562, 360, 285 |
3 | 257, 281, 180, 285 |
5 | 257, 281, 60, 95 |
257, 281, 12, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 257 x 281 x 12 x 19 = 493964280
Therefore, the lowest common multiple of 514,562,360,285 is 493964280.
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.
514 x 562 x 360 x 285 = 29637856800
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.
514 : 1, 2, 257, 514
562 : 1, 2, 281, 562
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,562,360,285, is 1.
Now, the common factors can be found like this.
514:2x 257
562:2x 281
360:2x 2x 2x 3x 3x 5
285:3x 5x 19
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 5 = 60
Therefore, the value for common factors is 60.
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 = 29637856800/(1x60)
LCM = 29637856800/60
LCM = 493964280
Thus, we can understand that the LCM of 514,562,360,285 is 493964280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 514, 562, 360, 285?
Answer: LCM of 514, 562, 360, 285 is 493964280.
2. How to calculate the LCM of 514, 562, 360, 285?
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 514, 562, 360, 285.
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}.