Find the LCM of 574, 401, 216, 520, 770 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 574, 401, 216, 520, 770. So, keep reading to learn more.
Given numbers are 574,401,216,520,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 574,401,216,520,770 is 17774036280.
Find LCM of 574,401,216,520,770 with Prime Factorization
2 | 574, 401, 216, 520, 770 |
2 | 287, 401, 108, 260, 385 |
2 | 287, 401, 54, 130, 385 |
5 | 287, 401, 27, 65, 385 |
7 | 287, 401, 27, 13, 77 |
41, 401, 27, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 41 x 401 x 27 x 13 x 11 = 17774036280
Therefore, the lowest common multiple of 574,401,216,520,770 is 17774036280.
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.
574 x 401 x 216 x 520 x 770 = 19906920633600
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.
574 : 1, 2, 7, 14, 41, 82, 287, 574
401 : 1, 401
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,401,216,520,770, is 1.
Now, the common factors can be found like this.
574:2x 7x 41
401:401
216:2x 2x 2x 3x 3x 3
520:2x 2x 2x 5x 13
770:2x 5x 7x 11
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 2x 2x 5x 7 = 1120
Therefore, the value for common factors is 1120.
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 = 19906920633600/(1x1120)
LCM = 19906920633600/1120
LCM = 17774036280
Thus, we can understand that the LCM of 574,401,216,520,770 is 17774036280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 574, 401, 216, 520, 770?
Answer: LCM of 574, 401, 216, 520, 770 is 17774036280.
2. How to calculate the LCM of 574, 401, 216, 520, 770?
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 574, 401, 216, 520, 770.
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}.