LCM of 269, 363, 330, 990, 723
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 363, 330, 990, 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 269, 363, 330, 990, 723. So, keep reading to learn more.
Given numbers are 269,363,330,990,723
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,363,330,990,723 is 705987810.
Find LCM of 269,363,330,990,723 with Prime Factorization
| 2 | 269, 363, 330, 990, 723 |
| 3 | 269, 363, 165, 495, 723 |
| 5 | 269, 121, 55, 165, 241 |
| 11 | 269, 121, 11, 33, 241 |
| 269, 1, 11, 3, 241 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 269 x 1 x 11 x 3 x 241 = 705987810
Therefore, the lowest common multiple of 269,363,330,990,723 is 705987810.
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.
269 x 363 x 330 x 990 x 723 = 23064621752700
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.
269 : 1, 269
363 : 1, 3, 11, 33, 121, 363
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
723 : 1, 3, 241, 723
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,363,330,990,723, is 1.
Now, the common factors can be found like this.
269:269
363:3x 11x 11
330:2x 3x 5x 11
990:2x 3x 3x 5x 11
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 5x 11x 11 = 32670
Therefore, the value for common factors is 32670.
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 = 23064621752700/(1x32670)
LCM = 23064621752700/32670
LCM = 705987810
Thus, we can understand that the LCM of 269,363,330,990,723 is 705987810.
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FAQs on LCM of 269, 363, 330, 990, 723
1. What is the LCM of 269, 363, 330, 990, 723?
Answer: LCM of 269, 363, 330, 990, 723 is 705987810.
2. How to calculate the LCM of 269, 363, 330, 990, 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 269, 363, 330, 990, 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}.