Find the LCM of 630, 820, 418, 373, 989 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, 820, 418, 373, 989. So, keep reading to learn more.
Given numbers are 630,820,418,373,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,820,418,373,989 is 3982958775180.
Find LCM of 630,820,418,373,989 with Prime Factorization
2 | 630, 820, 418, 373, 989 |
5 | 315, 410, 209, 373, 989 |
63, 82, 209, 373, 989 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 63 x 82 x 209 x 373 x 989 = 3982958775180
Therefore, the lowest common multiple of 630,820,418,373,989 is 3982958775180.
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 820 x 418 x 373 x 989 = 79659175503600
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
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
418 : 1, 2, 11, 19, 22, 38, 209, 418
373 : 1, 373
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,820,418,373,989, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
820:2x 2x 5x 41
418:2x 11x 19
373:373
989:23x 43
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 5 = 20
Therefore, the value for common factors is 20.
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 = 79659175503600/(1x20)
LCM = 79659175503600/20
LCM = 3982958775180
Thus, we can understand that the LCM of 630,820,418,373,989 is 3982958775180.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 630, 820, 418, 373, 989?
Answer: LCM of 630, 820, 418, 373, 989 is 3982958775180.
2. How to calculate the LCM of 630, 820, 418, 373, 989?
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, 820, 418, 373, 989.
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}.