LCM of 289, 440, 460, 753, 895
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 440, 460, 753, 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 289, 440, 460, 753, 895. So, keep reading to learn more.
Given numbers are 289,440,460,753,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,440,460,753,895 is 394208843160.
Find LCM of 289,440,460,753,895 with Prime Factorization
| 2 | 289, 440, 460, 753, 895 |
| 2 | 289, 220, 230, 753, 895 |
| 5 | 289, 110, 115, 753, 895 |
| 289, 22, 23, 753, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 289 x 22 x 23 x 753 x 179 = 394208843160
Therefore, the lowest common multiple of 289,440,460,753,895 is 394208843160.
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.
289 x 440 x 460 x 753 x 895 = 39420884316000
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.
289 : 1, 17, 289
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
753 : 1, 3, 251, 753
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,440,460,753,895, is 1.
Now, the common factors can be found like this.
289:17x 17
440:2x 2x 2x 5x 11
460:2x 2x 5x 23
753:3x 251
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 2x 5x 5 = 100
Therefore, the value for common factors is 100.
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 = 39420884316000/(1x100)
LCM = 39420884316000/100
LCM = 394208843160
Thus, we can understand that the LCM of 289,440,460,753,895 is 394208843160.
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FAQs on LCM of 289, 440, 460, 753, 895
1. What is the LCM of 289, 440, 460, 753, 895?
Answer: LCM of 289, 440, 460, 753, 895 is 394208843160.
2. How to calculate the LCM of 289, 440, 460, 753, 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 289, 440, 460, 753, 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}.