LCM of 348, 858, 786, 116
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 348, 858, 786, 116 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 348, 858, 786, 116. So, keep reading to learn more.
Given numbers are 348,858,786,116
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 348,858,786,116 is 6519084.
Find LCM of 348,858,786,116 with Prime Factorization
| 2 | 348, 858, 786, 116 |
| 2 | 174, 429, 393, 58 |
| 3 | 87, 429, 393, 29 |
| 29 | 29, 143, 131, 29 |
| 1, 143, 131, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 1 x 143 x 131 x 1 = 6519084
Therefore, the lowest common multiple of 348,858,786,116 is 6519084.
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.
348 x 858 x 786 x 116 = 27223694784
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.
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
786 : 1, 2, 3, 6, 131, 262, 393, 786
116 : 1, 2, 4, 29, 58, 116
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 348,858,786,116, is 2.
Now, the common factors can be found like this.
348:2x 2x 3x 29
858:2x 3x 11x 13
786:2x 3x 131
116:2x 2x 29
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 29 = 2088
Therefore, the value for common factors is 2088.
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 = 27223694784/(2x2088)
LCM = 27223694784/4176
LCM = 6519084
Thus, we can understand that the LCM of 348,858,786,116 is 6519084.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 348, 858, 786, 116
1. What is the LCM of 348, 858, 786, 116?
Answer: LCM of 348, 858, 786, 116 is 6519084.
2. How to calculate the LCM of 348, 858, 786, 116?
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 348, 858, 786, 116.
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}.