LCM of 983, 570, 988, 646, 975
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 570, 988, 646, 975 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 983, 570, 988, 646, 975. So, keep reading to learn more.
Given numbers are 983,570,988,646,975
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,570,988,646,975 is 1238285100.
Find LCM of 983,570,988,646,975 with Prime Factorization
| 2 | 983, 570, 988, 646, 975 |
| 3 | 983, 285, 494, 323, 975 |
| 5 | 983, 95, 494, 323, 325 |
| 13 | 983, 19, 494, 323, 65 |
| 19 | 983, 19, 38, 323, 5 |
| 983, 1, 2, 17, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 19 x 983 x 1 x 2 x 17 x 5 = 1238285100
Therefore, the lowest common multiple of 983,570,988,646,975 is 1238285100.
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.
983 x 570 x 988 x 646 x 975 = 348676318458000
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.
983 : 1, 983
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
646 : 1, 2, 17, 19, 34, 38, 323, 646
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,570,988,646,975, is 1.
Now, the common factors can be found like this.
983:983
570:2x 3x 5x 19
988:2x 2x 13x 19
646:2x 17x 19
975:3x 5x 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 3x 5x 13x 19x 19 = 281580
Therefore, the value for common factors is 281580.
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 = 348676318458000/(1x281580)
LCM = 348676318458000/281580
LCM = 1238285100
Thus, we can understand that the LCM of 983,570,988,646,975 is 1238285100.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 983, 570, 988, 646, 975
1. What is the LCM of 983, 570, 988, 646, 975?
Answer: LCM of 983, 570, 988, 646, 975 is 1238285100.
2. How to calculate the LCM of 983, 570, 988, 646, 975?
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 983, 570, 988, 646, 975.
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}.