Find the LCM of 959, 960, 195, 420, 705 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 959, 960, 195, 420, 705. So, keep reading to learn more.
Given numbers are 959,960,195,420,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 959,960,195,420,705 is 562511040.
Find LCM of 959,960,195,420,705 with Prime Factorization
2 | 959, 960, 195, 420, 705 |
2 | 959, 480, 195, 210, 705 |
3 | 959, 240, 195, 105, 705 |
5 | 959, 80, 65, 35, 235 |
7 | 959, 16, 13, 7, 47 |
137, 16, 13, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 137 x 16 x 13 x 1 x 47 = 562511040
Therefore, the lowest common multiple of 959,960,195,420,705 is 562511040.
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.
959 x 960 x 195 x 420 x 705 = 53157293280000
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.
959 : 1, 7, 137, 959
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
195 : 1, 3, 5, 13, 15, 39, 65, 195
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 959,960,195,420,705, is 1.
Now, the common factors can be found like this.
959:7x 137
960:2x 2x 2x 2x 2x 2x 3x 5
195:3x 5x 13
420:2x 2x 3x 5x 7
705:3x 5x 47
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 3x 3x 5x 5x 5x 7 = 94500
Therefore, the value for common factors is 94500.
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 = 53157293280000/(1x94500)
LCM = 53157293280000/94500
LCM = 562511040
Thus, we can understand that the LCM of 959,960,195,420,705 is 562511040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 959, 960, 195, 420, 705?
Answer: LCM of 959, 960, 195, 420, 705 is 562511040.
2. How to calculate the LCM of 959, 960, 195, 420, 705?
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 959, 960, 195, 420, 705.
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}.