LCM of 165, 414, 690, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 414, 690, 872 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, 414, 690, 872. So, keep reading to learn more.
Given numbers are 165,414,690,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,414,690,872 is 9927720.
Find LCM of 165,414,690,872 with Prime Factorization
| 2 | 165, 414, 690, 872 |
| 3 | 165, 207, 345, 436 |
| 5 | 55, 69, 115, 436 |
| 23 | 11, 69, 23, 436 |
| 11, 3, 1, 436 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 11 x 3 x 1 x 436 = 9927720
Therefore, the lowest common multiple of 165,414,690,872 is 9927720.
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 414 x 690 x 872 = 41100760800
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,414,690,872, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
414:2x 3x 3x 23
690:2x 3x 5x 23
872:2x 2x 2x 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 2x 3x 3x 5x 23 = 4140
Therefore, the value for common factors is 4140.
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 = 41100760800/(1x4140)
LCM = 41100760800/4140
LCM = 9927720
Thus, we can understand that the LCM of 165,414,690,872 is 9927720.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 165, 414, 690, 872
1. What is the LCM of 165, 414, 690, 872?
Answer: LCM of 165, 414, 690, 872 is 9927720.
2. How to calculate the LCM of 165, 414, 690, 872?
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, 414, 690, 872.
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}.