LCM of 384, 135, 522, 435, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 384, 135, 522, 435, 723 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 384, 135, 522, 435, 723. So, keep reading to learn more.
Given numbers are 384,135,522,435,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 384,135,522,435,723 is 120769920.
Find LCM of 384,135,522,435,723 with Prime Factorization
| 2 | 384, 135, 522, 435, 723 |
| 3 | 192, 135, 261, 435, 723 |
| 3 | 64, 45, 87, 145, 241 |
| 5 | 64, 15, 29, 145, 241 |
| 29 | 64, 3, 29, 29, 241 |
| 64, 3, 1, 1, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 29 x 64 x 3 x 1 x 1 x 241 = 120769920
Therefore, the lowest common multiple of 384,135,522,435,723 is 120769920.
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.
384 x 135 x 522 x 435 x 723 = 8510656262400
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.
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
135 : 1, 3, 5, 9, 15, 27, 45, 135
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
435 : 1, 3, 5, 15, 29, 87, 145, 435
723 : 1, 3, 241, 723
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 384,135,522,435,723, is 3.
Now, the common factors can be found like this.
384:2x 2x 2x 2x 2x 2x 2x 3
135:3x 3x 3x 5
522:2x 3x 3x 29
435:3x 5x 29
723:3x 241
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 3x 5x 29 = 23490
Therefore, the value for common factors is 23490.
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 = 8510656262400/(3x23490)
LCM = 8510656262400/70470
LCM = 120769920
Thus, we can understand that the LCM of 384,135,522,435,723 is 120769920.
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FAQs on LCM of 384, 135, 522, 435, 723
1. What is the LCM of 384, 135, 522, 435, 723?
Answer: LCM of 384, 135, 522, 435, 723 is 120769920.
2. How to calculate the LCM of 384, 135, 522, 435, 723?
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 384, 135, 522, 435, 723.
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}.