Find the LCM of 859, 960, 901, 840, 246 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 859, 960, 901, 840, 246. So, keep reading to learn more.
Given numbers are 859,960,901,840,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 859,960,901,840,246 is 213241183680.
Find LCM of 859,960,901,840,246 with Prime Factorization
2 | 859, 960, 901, 840, 246 |
2 | 859, 480, 901, 420, 123 |
2 | 859, 240, 901, 210, 123 |
3 | 859, 120, 901, 105, 123 |
5 | 859, 40, 901, 35, 41 |
859, 8, 901, 7, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 859 x 8 x 901 x 7 x 41 = 213241183680
Therefore, the lowest common multiple of 859,960,901,840,246 is 213241183680.
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.
859 x 960 x 901 x 840 x 246 = 153533652249600
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.
859 : 1, 859
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
901 : 1, 17, 53, 901
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 859,960,901,840,246, is 1.
Now, the common factors can be found like this.
859:859
960:2x 2x 2x 2x 2x 2x 3x 5
901:17x 53
840:2x 2x 2x 3x 5x 7
246:2x 3x 41
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 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 153533652249600/(1x720)
LCM = 153533652249600/720
LCM = 213241183680
Thus, we can understand that the LCM of 859,960,901,840,246 is 213241183680.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 859, 960, 901, 840, 246?
Answer: LCM of 859, 960, 901, 840, 246 is 213241183680.
2. How to calculate the LCM of 859, 960, 901, 840, 246?
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 859, 960, 901, 840, 246.
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}.