LCM of 312, 865, 861, 120, 191
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 312, 865, 861, 120, 191 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 312, 865, 861, 120, 191. So, keep reading to learn more.
Given numbers are 312,865,861,120,191
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 312,865,861,120,191 is 14794011960.
Find LCM of 312,865,861,120,191 with Prime Factorization
| 2 | 312, 865, 861, 120, 191 |
| 2 | 156, 865, 861, 60, 191 |
| 2 | 78, 865, 861, 30, 191 |
| 3 | 39, 865, 861, 15, 191 |
| 5 | 13, 865, 287, 5, 191 |
| 13, 173, 287, 1, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 173 x 287 x 1 x 191 = 14794011960
Therefore, the lowest common multiple of 312,865,861,120,191 is 14794011960.
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.
312 x 865 x 861 x 120 x 191 = 5325844305600
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.
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
865 : 1, 5, 173, 865
861 : 1, 3, 7, 21, 41, 123, 287, 861
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
191 : 1, 191
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,865,861,120,191, is 1.
Now, the common factors can be found like this.
312:2x 2x 2x 3x 13
865:5x 173
861:3x 7x 41
120:2x 2x 2x 3x 5
191:191
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 5325844305600/(1x360)
LCM = 5325844305600/360
LCM = 14794011960
Thus, we can understand that the LCM of 312,865,861,120,191 is 14794011960.
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FAQs on LCM of 312, 865, 861, 120, 191
1. What is the LCM of 312, 865, 861, 120, 191?
Answer: LCM of 312, 865, 861, 120, 191 is 14794011960.
2. How to calculate the LCM of 312, 865, 861, 120, 191?
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 312, 865, 861, 120, 191.
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}.