LCM of 289, 475, 965, 627, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 289, 475, 965, 627, 864 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, 475, 965, 627, 864. So, keep reading to learn more.
Given numbers are 289,475,965,627,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 289,475,965,627,864 is 251799688800.
Find LCM of 289,475,965,627,864 with Prime Factorization
| 3 | 289, 475, 965, 627, 864 |
| 5 | 289, 475, 965, 209, 288 |
| 19 | 289, 95, 193, 209, 288 |
| 289, 5, 193, 11, 288 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 289 x 5 x 193 x 11 x 288 = 251799688800
Therefore, the lowest common multiple of 289,475,965,627,864 is 251799688800.
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 475 x 965 x 627 x 864 = 71762911308000
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
475 : 1, 5, 19, 25, 95, 475
965 : 1, 5, 193, 965
627 : 1, 3, 11, 19, 33, 57, 209, 627
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,475,965,627,864, is 1.
Now, the common factors can be found like this.
289:17x 17
475:5x 5x 19
965:5x 193
627:3x 11x 19
864:2x 2x 2x 2x 2x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 19 = 285
Therefore, the value for common factors is 285.
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 = 71762911308000/(1x285)
LCM = 71762911308000/285
LCM = 251799688800
Thus, we can understand that the LCM of 289,475,965,627,864 is 251799688800.
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FAQs on LCM of 289, 475, 965, 627, 864
1. What is the LCM of 289, 475, 965, 627, 864?
Answer: LCM of 289, 475, 965, 627, 864 is 251799688800.
2. How to calculate the LCM of 289, 475, 965, 627, 864?
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, 475, 965, 627, 864.
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}.