Find the LCM of 834, 960, 946, 510, 574 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 834, 960, 946, 510, 574. So, keep reading to learn more.
Given numbers are 834,960,946,510,574
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 834,960,946,510,574 is 307948428480.
Find LCM of 834,960,946,510,574 with Prime Factorization
2 | 834, 960, 946, 510, 574 |
3 | 417, 480, 473, 255, 287 |
5 | 139, 160, 473, 85, 287 |
139, 32, 473, 17, 287 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 139 x 32 x 473 x 17 x 287 = 307948428480
Therefore, the lowest common multiple of 834,960,946,510,574 is 307948428480.
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.
834 x 960 x 946 x 510 x 574 = 221722868505600
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.
834 : 1, 2, 3, 6, 139, 278, 417, 834
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
946 : 1, 2, 11, 22, 43, 86, 473, 946
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
574 : 1, 2, 7, 14, 41, 82, 287, 574
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 834,960,946,510,574, is 2.
Now, the common factors can be found like this.
834:2x 3x 139
960:2x 2x 2x 2x 2x 2x 3x 5
946:2x 11x 43
510:2x 3x 5x 17
574:2x 7x 41
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 5 = 360
Therefore, the value for common factors is 360.
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 = 221722868505600/(2x360)
LCM = 221722868505600/720
LCM = 307948428480
Thus, we can understand that the LCM of 834,960,946,510,574 is 307948428480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 834, 960, 946, 510, 574?
Answer: LCM of 834, 960, 946, 510, 574 is 307948428480.
2. How to calculate the LCM of 834, 960, 946, 510, 574?
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 834, 960, 946, 510, 574.
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}.