LCM of 186, 786, 133, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 186, 786, 133, 399 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 186, 786, 133, 399. So, keep reading to learn more.
Given numbers are 186,786,133,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 186,786,133,399 is 3240678.
Find LCM of 186,786,133,399 with Prime Factorization
| 2 | 186, 786, 133, 399 |
| 3 | 93, 393, 133, 399 |
| 7 | 31, 131, 133, 133 |
| 19 | 31, 131, 19, 19 |
| 31, 131, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 31 x 131 x 1 x 1 = 3240678
Therefore, the lowest common multiple of 186,786,133,399 is 3240678.
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.
186 x 786 x 133 x 399 = 7758183132
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.
186 : 1, 2, 3, 6, 31, 62, 93, 186
786 : 1, 2, 3, 6, 131, 262, 393, 786
133 : 1, 7, 19, 133
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 186,786,133,399, is 1.
Now, the common factors can be found like this.
186:2x 3x 31
786:2x 3x 131
133:7x 19
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 19 = 2394
Therefore, the value for common factors is 2394.
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 = 7758183132/(1x2394)
LCM = 7758183132/2394
LCM = 3240678
Thus, we can understand that the LCM of 186,786,133,399 is 3240678.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 186, 786, 133, 399
1. What is the LCM of 186, 786, 133, 399?
Answer: LCM of 186, 786, 133, 399 is 3240678.
2. How to calculate the LCM of 186, 786, 133, 399?
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 186, 786, 133, 399.
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}.