LCM of 286, 437, 174, 551, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 286, 437, 174, 551, 165 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, 437, 174, 551, 165. So, keep reading to learn more.
Given numbers are 286,437,174,551,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,437,174,551,165 is 54367170.
Find LCM of 286,437,174,551,165 with Prime Factorization
| 2 | 286, 437, 174, 551, 165 |
| 3 | 143, 437, 87, 551, 165 |
| 11 | 143, 437, 29, 551, 55 |
| 19 | 13, 437, 29, 551, 5 |
| 29 | 13, 23, 29, 29, 5 |
| 13, 23, 1, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 29 x 13 x 23 x 1 x 1 x 5 = 54367170
Therefore, the lowest common multiple of 286,437,174,551,165 is 54367170.
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 437 x 174 x 551 x 165 = 1977116504220
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
437 : 1, 19, 23, 437
174 : 1, 2, 3, 6, 29, 58, 87, 174
551 : 1, 19, 29, 551
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,437,174,551,165, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
437:19x 23
174:2x 3x 29
551:19x 29
165:3x 5x 11
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 11x 19x 29 = 36366
Therefore, the value for common factors is 36366.
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 = 1977116504220/(1x36366)
LCM = 1977116504220/36366
LCM = 54367170
Thus, we can understand that the LCM of 286,437,174,551,165 is 54367170.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 286, 437, 174, 551, 165
1. What is the LCM of 286, 437, 174, 551, 165?
Answer: LCM of 286, 437, 174, 551, 165 is 54367170.
2. How to calculate the LCM of 286, 437, 174, 551, 165?
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, 437, 174, 551, 165.
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}.