Find the LCM of 920, 705, 322, 165, 940 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 920, 705, 322, 165, 940. So, keep reading to learn more.
Given numbers are 920,705,322,165,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,705,322,165,940 is 9988440.
Find LCM of 920,705,322,165,940 with Prime Factorization
2 | 920, 705, 322, 165, 940 |
2 | 460, 705, 161, 165, 470 |
3 | 230, 705, 161, 165, 235 |
5 | 230, 235, 161, 55, 235 |
23 | 46, 47, 161, 11, 47 |
47 | 2, 47, 7, 11, 47 |
2, 1, 7, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 23 x 47 x 2 x 1 x 7 x 11 x 1 = 9988440
Therefore, the lowest common multiple of 920,705,322,165,940 is 9988440.
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.
920 x 705 x 322 x 165 x 940 = 32392510920000
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
705 : 1, 3, 5, 15, 47, 141, 235, 705
322 : 1, 2, 7, 14, 23, 46, 161, 322
165 : 1, 3, 5, 11, 15, 33, 55, 165
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,705,322,165,940, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
705:3x 5x 47
322:2x 7x 23
165:3x 5x 11
940:2x 2x 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 2x 3x 5x 5x 5x 23x 47 = 3243000
Therefore, the value for common factors is 3243000.
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 = 32392510920000/(1x3243000)
LCM = 32392510920000/3243000
LCM = 9988440
Thus, we can understand that the LCM of 920,705,322,165,940 is 9988440.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 920, 705, 322, 165, 940?
Answer: LCM of 920, 705, 322, 165, 940 is 9988440.
2. How to calculate the LCM of 920, 705, 322, 165, 940?
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 920, 705, 322, 165, 940.
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}.