LCM of 542, 162, 159, 366, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 162, 159, 366, 427 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 542, 162, 159, 366, 427. So, keep reading to learn more.
Given numbers are 542,162,159,366,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,162,159,366,427 is 993546162.
Find LCM of 542,162,159,366,427 with Prime Factorization
| 2 | 542, 162, 159, 366, 427 |
| 3 | 271, 81, 159, 183, 427 |
| 61 | 271, 27, 53, 61, 427 |
| 271, 27, 53, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 61 x 271 x 27 x 53 x 1 x 7 = 993546162
Therefore, the lowest common multiple of 542,162,159,366,427 is 993546162.
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.
542 x 162 x 159 x 366 x 427 = 2181827371752
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.
542 : 1, 2, 271, 542
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
159 : 1, 3, 53, 159
366 : 1, 2, 3, 6, 61, 122, 183, 366
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,162,159,366,427, is 1.
Now, the common factors can be found like this.
542:2x 271
162:2x 3x 3x 3x 3
159:3x 53
366:2x 3x 61
427:7x 61
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 3x 3x 61 = 2196
Therefore, the value for common factors is 2196.
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 = 2181827371752/(1x2196)
LCM = 2181827371752/2196
LCM = 993546162
Thus, we can understand that the LCM of 542,162,159,366,427 is 993546162.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 542, 162, 159, 366, 427
1. What is the LCM of 542, 162, 159, 366, 427?
Answer: LCM of 542, 162, 159, 366, 427 is 993546162.
2. How to calculate the LCM of 542, 162, 159, 366, 427?
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 542, 162, 159, 366, 427.
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}.