LCM of 165, 686, 588, 471, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 686, 588, 471, 219 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 165, 686, 588, 471, 219. So, keep reading to learn more.
Given numbers are 165,686,588,471,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,686,588,471,219 is 2594541180.
Find LCM of 165,686,588,471,219 with Prime Factorization
| 2 | 165, 686, 588, 471, 219 |
| 3 | 165, 343, 294, 471, 219 |
| 7 | 55, 343, 98, 157, 73 |
| 7 | 55, 49, 14, 157, 73 |
| 55, 7, 2, 157, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 7 x 55 x 7 x 2 x 157 x 73 = 2594541180
Therefore, the lowest common multiple of 165,686,588,471,219 is 2594541180.
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.
165 x 686 x 588 x 471 x 219 = 6865155962280
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
686 : 1, 2, 7, 14, 49, 98, 343, 686
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
471 : 1, 3, 157, 471
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,686,588,471,219, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
686:2x 7x 7x 7
588:2x 2x 3x 7x 7
471:3x 157
219:3x 73
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 3x 7x 7 = 2646
Therefore, the value for common factors is 2646.
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 = 6865155962280/(1x2646)
LCM = 6865155962280/2646
LCM = 2594541180
Thus, we can understand that the LCM of 165,686,588,471,219 is 2594541180.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 165, 686, 588, 471, 219
1. What is the LCM of 165, 686, 588, 471, 219?
Answer: LCM of 165, 686, 588, 471, 219 is 2594541180.
2. How to calculate the LCM of 165, 686, 588, 471, 219?
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 165, 686, 588, 471, 219.
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}.