Find the LCM of 843, 969, 589, 873, 708 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 843, 969, 589, 873, 708. So, keep reading to learn more.
Given numbers are 843,969,589,873,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,969,589,873,708 is 579691300284.
Find LCM of 843,969,589,873,708 with Prime Factorization
3 | 843, 969, 589, 873, 708 |
19 | 281, 323, 589, 291, 236 |
281, 17, 31, 291, 236 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 281 x 17 x 31 x 291 x 236 = 579691300284
Therefore, the lowest common multiple of 843,969,589,873,708 is 579691300284.
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.
843 x 969 x 589 x 873 x 708 = 297381637045692
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.
843 : 1, 3, 281, 843
969 : 1, 3, 17, 19, 51, 57, 323, 969
589 : 1, 19, 31, 589
873 : 1, 3, 9, 97, 291, 873
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,969,589,873,708, is 1.
Now, the common factors can be found like this.
843:3x 281
969:3x 17x 19
589:19x 31
873:3x 3x 97
708:2x 2x 3x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 19 = 513
Therefore, the value for common factors is 513.
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 = 297381637045692/(1x513)
LCM = 297381637045692/513
LCM = 579691300284
Thus, we can understand that the LCM of 843,969,589,873,708 is 579691300284.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 843, 969, 589, 873, 708?
Answer: LCM of 843, 969, 589, 873, 708 is 579691300284.
2. How to calculate the LCM of 843, 969, 589, 873, 708?
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 843, 969, 589, 873, 708.
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}.