LCM of 286, 126, 431, 141, 827
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 126, 431, 141, 827 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 286, 126, 431, 141, 827. So, keep reading to learn more.
Given numbers are 286,126,431,141,827
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,126,431,141,827 is 301847247702.
Find LCM of 286,126,431,141,827 with Prime Factorization
| 2 | 286, 126, 431, 141, 827 |
| 3 | 143, 63, 431, 141, 827 |
| 143, 21, 431, 47, 827 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 143 x 21 x 431 x 47 x 827 = 301847247702
Therefore, the lowest common multiple of 286,126,431,141,827 is 301847247702.
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.
286 x 126 x 431 x 141 x 827 = 1811083486212
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
431 : 1, 431
141 : 1, 3, 47, 141
827 : 1, 827
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,126,431,141,827, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
126:2x 3x 3x 7
431:431
141:3x 47
827:827
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 1811083486212/(1x6)
LCM = 1811083486212/6
LCM = 301847247702
Thus, we can understand that the LCM of 286,126,431,141,827 is 301847247702.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 286, 126, 431, 141, 827
1. What is the LCM of 286, 126, 431, 141, 827?
Answer: LCM of 286, 126, 431, 141, 827 is 301847247702.
2. How to calculate the LCM of 286, 126, 431, 141, 827?
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 286, 126, 431, 141, 827.
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}.