LCM of 116, 332, 840, 190, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 332, 840, 190, 872 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 116, 332, 840, 190, 872. So, keep reading to learn more.
Given numbers are 116,332,840,190,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,332,840,190,872 is 4187313480.
Find LCM of 116,332,840,190,872 with Prime Factorization
| 2 | 116, 332, 840, 190, 872 |
| 2 | 58, 166, 420, 95, 436 |
| 2 | 29, 83, 210, 95, 218 |
| 5 | 29, 83, 105, 95, 109 |
| 29, 83, 21, 19, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 29 x 83 x 21 x 19 x 109 = 4187313480
Therefore, the lowest common multiple of 116,332,840,190,872 is 4187313480.
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.
116 x 332 x 840 x 190 x 872 = 5359761254400
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.
116 : 1, 2, 4, 29, 58, 116
332 : 1, 2, 4, 83, 166, 332
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
190 : 1, 2, 5, 10, 19, 38, 95, 190
872 : 1, 2, 4, 8, 109, 218, 436, 872
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,332,840,190,872, is 2.
Now, the common factors can be found like this.
116:2x 2x 29
332:2x 2x 83
840:2x 2x 2x 3x 5x 7
190:2x 5x 19
872:2x 2x 2x 109
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 2x 5 = 640
Therefore, the value for common factors is 640.
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 = 5359761254400/(2x640)
LCM = 5359761254400/1280
LCM = 4187313480
Thus, we can understand that the LCM of 116,332,840,190,872 is 4187313480.
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FAQs on LCM of 116, 332, 840, 190, 872
1. What is the LCM of 116, 332, 840, 190, 872?
Answer: LCM of 116, 332, 840, 190, 872 is 4187313480.
2. How to calculate the LCM of 116, 332, 840, 190, 872?
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 116, 332, 840, 190, 872.
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}.