Find the LCM of 964, 915, 585, 984, 978 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 964, 915, 585, 984, 978. So, keep reading to learn more.
Given numbers are 964,915,585,984,978
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,915,585,984,978 is 459794944440.
Find LCM of 964,915,585,984,978 with Prime Factorization
2 | 964, 915, 585, 984, 978 |
2 | 482, 915, 585, 492, 489 |
3 | 241, 915, 585, 246, 489 |
5 | 241, 305, 195, 82, 163 |
241, 61, 39, 82, 163 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 241 x 61 x 39 x 82 x 163 = 459794944440
Therefore, the lowest common multiple of 964,915,585,984,978 is 459794944440.
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.
964 x 915 x 585 x 984 x 978 = 496578539995200
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.
964 : 1, 2, 4, 241, 482, 964
915 : 1, 3, 5, 15, 61, 183, 305, 915
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
978 : 1, 2, 3, 6, 163, 326, 489, 978
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,915,585,984,978, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
915:3x 5x 61
585:3x 3x 5x 13
984:2x 2x 2x 3x 41
978:2x 3x 163
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 3x 5 = 1080
Therefore, the value for common factors is 1080.
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 = 496578539995200/(1x1080)
LCM = 496578539995200/1080
LCM = 459794944440
Thus, we can understand that the LCM of 964,915,585,984,978 is 459794944440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 915, 585, 984, 978?
Answer: LCM of 964, 915, 585, 984, 978 is 459794944440.
2. How to calculate the LCM of 964, 915, 585, 984, 978?
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 964, 915, 585, 984, 978.
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}.