LCM of 690, 960, 533, 922, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 960, 533, 922, 585 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 690, 960, 533, 922, 585. So, keep reading to learn more.
Given numbers are 690,960,533,922,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,960,533,922,585 is 16276029120.
Find LCM of 690,960,533,922,585 with Prime Factorization
| 2 | 690, 960, 533, 922, 585 |
| 3 | 345, 480, 533, 461, 585 |
| 5 | 115, 160, 533, 461, 195 |
| 13 | 23, 32, 533, 461, 39 |
| 23, 32, 41, 461, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 23 x 32 x 41 x 461 x 3 = 16276029120
Therefore, the lowest common multiple of 690,960,533,922,585 is 16276029120.
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.
690 x 960 x 533 x 922 x 585 = 190429540704000
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
533 : 1, 13, 41, 533
922 : 1, 2, 461, 922
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,960,533,922,585, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
960:2x 2x 2x 2x 2x 2x 3x 5
533:13x 41
922:2x 461
585:3x 3x 5x 13
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 5x 13 = 11700
Therefore, the value for common factors is 11700.
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 = 190429540704000/(1x11700)
LCM = 190429540704000/11700
LCM = 16276029120
Thus, we can understand that the LCM of 690,960,533,922,585 is 16276029120.
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FAQs on LCM of 690, 960, 533, 922, 585
1. What is the LCM of 690, 960, 533, 922, 585?
Answer: LCM of 690, 960, 533, 922, 585 is 16276029120.
2. How to calculate the LCM of 690, 960, 533, 922, 585?
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 690, 960, 533, 922, 585.
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}.