LCM of 932, 110, 384, 696, 789
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 932, 110, 384, 696, 789 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 932, 110, 384, 696, 789. So, keep reading to learn more.
Given numbers are 932,110,384,696,789
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 932,110,384,696,789 is 37532161920.
Find LCM of 932,110,384,696,789 with Prime Factorization
| 2 | 932, 110, 384, 696, 789 |
| 2 | 466, 55, 192, 348, 789 |
| 2 | 233, 55, 96, 174, 789 |
| 3 | 233, 55, 48, 87, 789 |
| 233, 55, 16, 29, 263 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 233 x 55 x 16 x 29 x 263 = 37532161920
Therefore, the lowest common multiple of 932,110,384,696,789 is 37532161920.
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.
932 x 110 x 384 x 696 x 789 = 21618525265920
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.
932 : 1, 2, 4, 233, 466, 932
110 : 1, 2, 5, 10, 11, 22, 55, 110
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
789 : 1, 3, 263, 789
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 932,110,384,696,789, is 1.
Now, the common factors can be found like this.
932:2x 2x 233
110:2x 5x 11
384:2x 2x 2x 2x 2x 2x 2x 3
696:2x 2x 2x 3x 29
789:3x 263
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 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 21618525265920/(1x576)
LCM = 21618525265920/576
LCM = 37532161920
Thus, we can understand that the LCM of 932,110,384,696,789 is 37532161920.
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FAQs on LCM of 932, 110, 384, 696, 789
1. What is the LCM of 932, 110, 384, 696, 789?
Answer: LCM of 932, 110, 384, 696, 789 is 37532161920.
2. How to calculate the LCM of 932, 110, 384, 696, 789?
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 932, 110, 384, 696, 789.
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}.