Find the LCM of 630, 850, 605, 900, 578 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 630, 850, 605, 900, 578. So, keep reading to learn more.
Given numbers are 630,850,605,900,578
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,850,605,900,578 is 220304700.
Find LCM of 630,850,605,900,578 with Prime Factorization
2 | 630, 850, 605, 900, 578 |
3 | 315, 425, 605, 450, 289 |
3 | 105, 425, 605, 150, 289 |
5 | 35, 425, 605, 50, 289 |
5 | 7, 85, 121, 10, 289 |
17 | 7, 17, 121, 2, 289 |
7, 1, 121, 2, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 5 x 17 x 7 x 1 x 121 x 2 x 17 = 220304700
Therefore, the lowest common multiple of 630,850,605,900,578 is 220304700.
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.
630 x 850 x 605 x 900 x 578 = 168533095500000
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
605 : 1, 5, 11, 55, 121, 605
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
578 : 1, 2, 17, 34, 289, 578
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,850,605,900,578, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
850:2x 5x 5x 17
605:5x 11x 11
900:2x 2x 3x 3x 5x 5
578:2x 17x 17
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 3x 5x 5x 5x 5x 17 = 765000
Therefore, the value for common factors is 765000.
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 = 168533095500000/(1x765000)
LCM = 168533095500000/765000
LCM = 220304700
Thus, we can understand that the LCM of 630,850,605,900,578 is 220304700.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 630, 850, 605, 900, 578?
Answer: LCM of 630, 850, 605, 900, 578 is 220304700.
2. How to calculate the LCM of 630, 850, 605, 900, 578?
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 630, 850, 605, 900, 578.
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}.