LCM of 269, 330, 223, 720, 895
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 269, 330, 223, 720, 895 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, 330, 223, 720, 895. So, keep reading to learn more.
Given numbers are 269,330,223,720,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 269,330,223,720,895 is 85042370160.
Find LCM of 269,330,223,720,895 with Prime Factorization
| 2 | 269, 330, 223, 720, 895 |
| 3 | 269, 165, 223, 360, 895 |
| 5 | 269, 55, 223, 120, 895 |
| 269, 11, 223, 24, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 269 x 11 x 223 x 24 x 179 = 85042370160
Therefore, the lowest common multiple of 269,330,223,720,895 is 85042370160.
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 330 x 223 x 720 x 895 = 12756355524000
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
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
223 : 1, 223
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 269,330,223,720,895, is 1.
Now, the common factors can be found like this.
269:269
330:2x 3x 5x 11
223:223
720:2x 2x 2x 2x 3x 3x 5
895:5x 179
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 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 12756355524000/(1x150)
LCM = 12756355524000/150
LCM = 85042370160
Thus, we can understand that the LCM of 269,330,223,720,895 is 85042370160.
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FAQs on LCM of 269, 330, 223, 720, 895
1. What is the LCM of 269, 330, 223, 720, 895?
Answer: LCM of 269, 330, 223, 720, 895 is 85042370160.
2. How to calculate the LCM of 269, 330, 223, 720, 895?
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, 330, 223, 720, 895.
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}.