Find the LCM of 981, 175, 205, 312, 579 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 981, 175, 205, 312, 579. So, keep reading to learn more.
Given numbers are 981,175,205,312,579
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,175,205,312,579 is 141280284600.
Find LCM of 981,175,205,312,579 with Prime Factorization
3 | 981, 175, 205, 312, 579 |
5 | 327, 175, 205, 104, 193 |
327, 35, 41, 104, 193 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 327 x 35 x 41 x 104 x 193 = 141280284600
Therefore, the lowest common multiple of 981,175,205,312,579 is 141280284600.
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.
981 x 175 x 205 x 312 x 579 = 6357612807000
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.
981 : 1, 3, 9, 109, 327, 981
175 : 1, 5, 7, 25, 35, 175
205 : 1, 5, 41, 205
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
579 : 1, 3, 193, 579
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,175,205,312,579, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
175:5x 5x 7
205:5x 41
312:2x 2x 2x 3x 13
579:3x 193
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 5 = 45
Therefore, the value for common factors is 45.
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 = 6357612807000/(1x45)
LCM = 6357612807000/45
LCM = 141280284600
Thus, we can understand that the LCM of 981,175,205,312,579 is 141280284600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 981, 175, 205, 312, 579?
Answer: LCM of 981, 175, 205, 312, 579 is 141280284600.
2. How to calculate the LCM of 981, 175, 205, 312, 579?
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 981, 175, 205, 312, 579.
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}.