Find the LCM of 964, 684, 792, 866, 585 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, 684, 792, 866, 585. So, keep reading to learn more.
Given numbers are 964,684,792,866,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,684,792,866,585 is 102069756360.
Find LCM of 964,684,792,866,585 with Prime Factorization
2 | 964, 684, 792, 866, 585 |
2 | 482, 342, 396, 433, 585 |
3 | 241, 171, 198, 433, 585 |
3 | 241, 57, 66, 433, 195 |
241, 19, 22, 433, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 241 x 19 x 22 x 433 x 65 = 102069756360
Therefore, the lowest common multiple of 964,684,792,866,585 is 102069756360.
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 684 x 792 x 866 x 585 = 264564808485120
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
866 : 1, 2, 433, 866
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,684,792,866,585, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
684:2x 2x 3x 3x 19
792:2x 2x 2x 3x 3x 11
866:2x 433
585:3x 3x 5x 13
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 2x 2x 3x 3x 3x 3 = 2592
Therefore, the value for common factors is 2592.
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 = 264564808485120/(1x2592)
LCM = 264564808485120/2592
LCM = 102069756360
Thus, we can understand that the LCM of 964,684,792,866,585 is 102069756360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 964, 684, 792, 866, 585?
Answer: LCM of 964, 684, 792, 866, 585 is 102069756360.
2. How to calculate the LCM of 964, 684, 792, 866, 585?
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, 684, 792, 866, 585.
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}.