LCM of 114, 418, 165, 109
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 418, 165, 109 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 114, 418, 165, 109. So, keep reading to learn more.
Given numbers are 114,418,165,109
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,418,165,109 is 683430.
Find LCM of 114,418,165,109 with Prime Factorization
| 2 | 114, 418, 165, 109 |
| 3 | 57, 209, 165, 109 |
| 11 | 19, 209, 55, 109 |
| 19 | 19, 19, 5, 109 |
| 1, 1, 5, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 1 x 1 x 5 x 109 = 683430
Therefore, the lowest common multiple of 114,418,165,109 is 683430.
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.
114 x 418 x 165 x 109 = 857021220
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
418 : 1, 2, 11, 19, 22, 38, 209, 418
165 : 1, 3, 5, 11, 15, 33, 55, 165
109 : 1, 109
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,418,165,109, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
418:2x 11x 19
165:3x 5x 11
109:109
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 19 = 1254
Therefore, the value for common factors is 1254.
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 = 857021220/(1x1254)
LCM = 857021220/1254
LCM = 683430
Thus, we can understand that the LCM of 114,418,165,109 is 683430.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 114, 418, 165, 109
1. What is the LCM of 114, 418, 165, 109?
Answer: LCM of 114, 418, 165, 109 is 683430.
2. How to calculate the LCM of 114, 418, 165, 109?
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 114, 418, 165, 109.
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}.