Find the LCM of 574, 760, 850, 215, 521 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, 760, 850, 215, 521. So, keep reading to learn more.
Given numbers are 574,760,850,215,521
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 574,760,850,215,521 is 415356100600.
Find LCM of 574,760,850,215,521 with Prime Factorization
2 | 574, 760, 850, 215, 521 |
5 | 287, 380, 425, 215, 521 |
287, 76, 85, 43, 521 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 287 x 76 x 85 x 43 x 521 = 415356100600
Therefore, the lowest common multiple of 574,760,850,215,521 is 415356100600.
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 760 x 850 x 215 x 521 = 41535610060000
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
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
215 : 1, 5, 43, 215
521 : 1, 521
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,760,850,215,521, is 1.
Now, the common factors can be found like this.
574:2x 7x 41
760:2x 2x 2x 5x 19
850:2x 5x 5x 17
215:5x 43
521:521
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 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 41535610060000/(1x100)
LCM = 41535610060000/100
LCM = 415356100600
Thus, we can understand that the LCM of 574,760,850,215,521 is 415356100600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 574, 760, 850, 215, 521?
Answer: LCM of 574, 760, 850, 215, 521 is 415356100600.
2. How to calculate the LCM of 574, 760, 850, 215, 521?
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, 760, 850, 215, 521.
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}.