Find the LCM of 820, 217, 420, 697, 514 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 820, 217, 420, 697, 514. So, keep reading to learn more.
Given numbers are 820,217,420,697,514
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,217,420,697,514 is 2332259580.
Find LCM of 820,217,420,697,514 with Prime Factorization
2 | 820, 217, 420, 697, 514 |
2 | 410, 217, 210, 697, 257 |
5 | 205, 217, 105, 697, 257 |
7 | 41, 217, 21, 697, 257 |
41 | 41, 31, 3, 697, 257 |
1, 31, 3, 17, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 41 x 1 x 31 x 3 x 17 x 257 = 2332259580
Therefore, the lowest common multiple of 820,217,420,697,514 is 2332259580.
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.
820 x 217 x 420 x 697 x 514 = 26774339978400
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
217 : 1, 7, 31, 217
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
697 : 1, 17, 41, 697
514 : 1, 2, 257, 514
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,217,420,697,514, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
217:7x 31
420:2x 2x 3x 5x 7
697:17x 41
514:2x 257
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 5x 7x 41 = 11480
Therefore, the value for common factors is 11480.
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 = 26774339978400/(1x11480)
LCM = 26774339978400/11480
LCM = 2332259580
Thus, we can understand that the LCM of 820,217,420,697,514 is 2332259580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 820, 217, 420, 697, 514?
Answer: LCM of 820, 217, 420, 697, 514 is 2332259580.
2. How to calculate the LCM of 820, 217, 420, 697, 514?
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 820, 217, 420, 697, 514.
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}.